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Finding the Fourth Proportional to 412,765.80, 619,235.10 and 132,311.40

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Solution

The fourth proportional to 412,765.80, 619,235.10 and 132,311.40 is: 198,494.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,765.80 : 619,235.10 = 132,311.40 : x
  2. Step 2: Convert to fraction form
    412,765.80/619,235.10 = 132,311.40/x
  3. Step 3: Cross multiply
    412,765.80x = 619,235.10 × 132,311.40
  4. Step 4: Simplify right side
    412,765.80x = 81,931,863,010.14
  5. Step 5: Solve for x
    x = 81,931,863,010.14/412,765.80
  6. Step 6: Final answer
    x = 198,494.80

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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.