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Finding the Fourth Proportional to 415,976.08, 574,047.10 and 234,726.42

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Solution

The fourth proportional to 415,976.08, 574,047.10 and 234,726.42 is: 323,922.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,976.08 : 574,047.10 = 234,726.42 : x
  2. Step 2: Convert to fraction form
    415,976.08/574,047.10 = 234,726.42/x
  3. Step 3: Cross multiply
    415,976.08x = 574,047.10 × 234,726.42
  4. Step 4: Simplify right side
    415,976.08x = 134,744,020,694.38
  5. Step 5: Solve for x
    x = 134,744,020,694.38/415,976.08
  6. Step 6: Final answer
    x = 323,922.52

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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.