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Finding the Fourth Proportional to 416,115.29, 574,236.68 and 225,124.58

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Solution

The fourth proportional to 416,115.29, 574,236.68 and 225,124.58 is: 310,670.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,115.29 : 574,236.68 = 225,124.58 : x
  2. Step 2: Convert to fraction form
    416,115.29/574,236.68 = 225,124.58/x
  3. Step 3: Cross multiply
    416,115.29x = 574,236.68 × 225,124.58
  4. Step 4: Simplify right side
    416,115.29x = 129,274,788,534.41
  5. Step 5: Solve for x
    x = 129,274,788,534.41/416,115.29
  6. Step 6: Final answer
    x = 310,670.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.