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Finding the Fourth Proportional to 415,952.52, 574,020 and 234,663.84

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Solution

The fourth proportional to 415,952.52, 574,020 and 234,663.84 is: 323,839.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,952.52 : 574,020 = 234,663.84 : x
  2. Step 2: Convert to fraction form
    415,952.52/574,020 = 234,663.84/x
  3. Step 3: Cross multiply
    415,952.52x = 574,020 × 234,663.84
  4. Step 4: Simplify right side
    415,952.52x = 134,701,737,436.80
  5. Step 5: Solve for x
    x = 134,701,737,436.80/415,952.52
  6. Step 6: Final answer
    x = 323,839.21

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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.