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Finding the Fourth Proportional to 415,924.01, 574,001.71 and 234,569.76

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Solution

The fourth proportional to 415,924.01, 574,001.71 and 234,569.76 is: 323,721.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,924.01 : 574,001.71 = 234,569.76 : x
  2. Step 2: Convert to fraction form
    415,924.01/574,001.71 = 234,569.76/x
  3. Step 3: Cross multiply
    415,924.01x = 574,001.71 × 234,569.76
  4. Step 4: Simplify right side
    415,924.01x = 134,643,443,354.29
  5. Step 5: Solve for x
    x = 134,643,443,354.29/415,924.01
  6. Step 6: Final answer
    x = 323,721.26

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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.