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Finding the Fourth Proportional to 415,949.58, 574,010.53 and 234,699.92

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Solution

The fourth proportional to 415,949.58, 574,010.53 and 234,699.92 is: 323,885.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,949.58 : 574,010.53 = 234,699.92 : x
  2. Step 2: Convert to fraction form
    415,949.58/574,010.53 = 234,699.92/x
  3. Step 3: Cross multiply
    415,949.58x = 574,010.53 × 234,699.92
  4. Step 4: Simplify right side
    415,949.58x = 134,720,225,470.16
  5. Step 5: Solve for x
    x = 134,720,225,470.16/415,949.58
  6. Step 6: Final answer
    x = 323,885.95

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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.