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Finding the Fourth Proportional to 733,351.62, 1,012,072 and 411,061.80

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Solution

The fourth proportional to 733,351.62, 1,012,072 and 411,061.80 is: 567,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,351.62 : 1,012,072 = 411,061.80 : x
  2. Step 2: Convert to fraction form
    733,351.62/1,012,072 = 411,061.80/x
  3. Step 3: Cross multiply
    733,351.62x = 1,012,072 × 411,061.80
  4. Step 4: Simplify right side
    733,351.62x = 416,024,138,049.60
  5. Step 5: Solve for x
    x = 416,024,138,049.60/733,351.62
  6. Step 6: Final answer
    x = 567,291.50

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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.