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Finding the Fourth Proportional to 520,938.40, 781,666.80 and 296,471.20

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Solution

The fourth proportional to 520,938.40, 781,666.80 and 296,471.20 is: 444,854.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,938.40 : 781,666.80 = 296,471.20 : x
  2. Step 2: Convert to fraction form
    520,938.40/781,666.80 = 296,471.20/x
  3. Step 3: Cross multiply
    520,938.40x = 781,666.80 × 296,471.20
  4. Step 4: Simplify right side
    520,938.40x = 231,741,694,196.16
  5. Step 5: Solve for x
    x = 231,741,694,196.16/520,938.40
  6. Step 6: Final answer
    x = 444,854.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.