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Finding the Fourth Proportional to 413,487.97, 570,675.11 and 252,436.38

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Solution

The fourth proportional to 413,487.97, 570,675.11 and 252,436.38 is: 348,399.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,487.97 : 570,675.11 = 252,436.38 : x
  2. Step 2: Convert to fraction form
    413,487.97/570,675.11 = 252,436.38/x
  3. Step 3: Cross multiply
    413,487.97x = 570,675.11 × 252,436.38
  4. Step 4: Simplify right side
    413,487.97x = 144,059,155,522.29
  5. Step 5: Solve for x
    x = 144,059,155,522.29/413,487.97
  6. Step 6: Final answer
    x = 348,399.87

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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.