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Finding the Fourth Proportional to 733,423, 1,012,127.39 and 427,711.38

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Solution

The fourth proportional to 733,423, 1,012,127.39 and 427,711.38 is: 590,243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,423 : 1,012,127.39 = 427,711.38 : x
  2. Step 2: Convert to fraction form
    733,423/1,012,127.39 = 427,711.38/x
  3. Step 3: Cross multiply
    733,423x = 1,012,127.39 × 427,711.38
  4. Step 4: Simplify right side
    733,423x = 432,898,402,712.70
  5. Step 5: Solve for x
    x = 432,898,402,712.70/733,423
  6. Step 6: Final answer
    x = 590,243.83

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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.