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Finding the Fourth Proportional to 409,892.96, 614,857.89 and 125,562.76

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Solution

The fourth proportional to 409,892.96, 614,857.89 and 125,562.76 is: 188,349.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,892.96 : 614,857.89 = 125,562.76 : x
  2. Step 2: Convert to fraction form
    409,892.96/614,857.89 = 125,562.76/x
  3. Step 3: Cross multiply
    409,892.96x = 614,857.89 × 125,562.76
  4. Step 4: Simplify right side
    409,892.96x = 77,203,251,903.60
  5. Step 5: Solve for x
    x = 77,203,251,903.60/409,892.96
  6. Step 6: Final answer
    x = 188,349.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.