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Finding the Fourth Proportional to 412,793.55, 619,251.84 and 146,531.77

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Solution

The fourth proportional to 412,793.55, 619,251.84 and 146,531.77 is: 219,819.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,793.55 : 619,251.84 = 146,531.77 : x
  2. Step 2: Convert to fraction form
    412,793.55/619,251.84 = 146,531.77/x
  3. Step 3: Cross multiply
    412,793.55x = 619,251.84 × 146,531.77
  4. Step 4: Simplify right side
    412,793.55x = 90,740,066,642.83
  5. Step 5: Solve for x
    x = 90,740,066,642.83/412,793.55
  6. Step 6: Final answer
    x = 219,819.49

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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.