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Finding the Fourth Proportional to 412,761.32, 619,203.50 and 146,499.55

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Solution

The fourth proportional to 412,761.32, 619,203.50 and 146,499.55 is: 219,771.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,761.32 : 619,203.50 = 146,499.55 : x
  2. Step 2: Convert to fraction form
    412,761.32/619,203.50 = 146,499.55/x
  3. Step 3: Cross multiply
    412,761.32x = 619,203.50 × 146,499.55
  4. Step 4: Simplify right side
    412,761.32x = 90,713,030,279.91
  5. Step 5: Solve for x
    x = 90,713,030,279.91/412,761.32
  6. Step 6: Final answer
    x = 219,771.15

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