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Finding the Fourth Proportional to 412,849.60, 619,663.20 and 255,385.60

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Solution

The fourth proportional to 412,849.60, 619,663.20 and 255,385.60 is: 383,318.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,849.60 : 619,663.20 = 255,385.60 : x
  2. Step 2: Convert to fraction form
    412,849.60/619,663.20 = 255,385.60/x
  3. Step 3: Cross multiply
    412,849.60x = 619,663.20 × 255,385.60
  4. Step 4: Simplify right side
    412,849.60x = 158,253,058,129.92
  5. Step 5: Solve for x
    x = 158,253,058,129.92/412,849.60
  6. Step 6: Final answer
    x = 383,318.91

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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.