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Finding the Fourth Proportional to 412,930.78, 619,337.85 and 132,411.58

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Solution

The fourth proportional to 412,930.78, 619,337.85 and 132,411.58 is: 198,598.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,930.78 : 619,337.85 = 132,411.58 : x
  2. Step 2: Convert to fraction form
    412,930.78/619,337.85 = 132,411.58/x
  3. Step 3: Cross multiply
    412,930.78x = 619,337.85 × 132,411.58
  4. Step 4: Simplify right side
    412,930.78x = 82,007,503,272.30
  5. Step 5: Solve for x
    x = 82,007,503,272.30/412,930.78
  6. Step 6: Final answer
    x = 198,598.67

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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.