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Finding the Fourth Proportional to 733,553.02, 1,012,351.80 and 411,283.90

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Solution

The fourth proportional to 733,553.02, 1,012,351.80 and 411,283.90 is: 567,599.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,553.02 : 1,012,351.80 = 411,283.90 : x
  2. Step 2: Convert to fraction form
    733,553.02/1,012,351.80 = 411,283.90/x
  3. Step 3: Cross multiply
    733,553.02x = 1,012,351.80 × 411,283.90
  4. Step 4: Simplify right side
    733,553.02x = 416,363,996,476.02
  5. Step 5: Solve for x
    x = 416,363,996,476.02/733,553.02
  6. Step 6: Final answer
    x = 567,599.05

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.