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Finding the Fourth Proportional to 413,098.40, 570,028.92 and 231,772.52

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Solution

The fourth proportional to 413,098.40, 570,028.92 and 231,772.52 is: 319,819.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,098.40 : 570,028.92 = 231,772.52 : x
  2. Step 2: Convert to fraction form
    413,098.40/570,028.92 = 231,772.52/x
  3. Step 3: Cross multiply
    413,098.40x = 570,028.92 × 231,772.52
  4. Step 4: Simplify right side
    413,098.40x = 132,117,039,261.28
  5. Step 5: Solve for x
    x = 132,117,039,261.28/413,098.40
  6. Step 6: Final answer
    x = 319,819.78

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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.