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Finding the Fourth Proportional to 416,154.24, 574,231.26 and 252,725.76

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Solution

The fourth proportional to 416,154.24, 574,231.26 and 252,725.76 is: 348,724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,154.24 : 574,231.26 = 252,725.76 : x
  2. Step 2: Convert to fraction form
    416,154.24/574,231.26 = 252,725.76/x
  3. Step 3: Cross multiply
    416,154.24x = 574,231.26 × 252,725.76
  4. Step 4: Simplify right side
    416,154.24x = 145,123,031,599.26
  5. Step 5: Solve for x
    x = 145,123,031,599.26/416,154.24
  6. Step 6: Final answer
    x = 348,724.15

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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.