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Finding the Fourth Proportional to 392,457.42, 541,436.68 and 226,775.92

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Solution

The fourth proportional to 392,457.42, 541,436.68 and 226,775.92 is: 312,861.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,457.42 : 541,436.68 = 226,775.92 : x
  2. Step 2: Convert to fraction form
    392,457.42/541,436.68 = 226,775.92/x
  3. Step 3: Cross multiply
    392,457.42x = 541,436.68 × 226,775.92
  4. Step 4: Simplify right side
    392,457.42x = 122,784,798,251.82
  5. Step 5: Solve for x
    x = 122,784,798,251.82/392,457.42
  6. Step 6: Final answer
    x = 312,861.45

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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.