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Finding the Fourth Proportional to 412,933.80, 619,400.70 and 132,479.40

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Solution

The fourth proportional to 412,933.80, 619,400.70 and 132,479.40 is: 198,719.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,933.80 : 619,400.70 = 132,479.40 : x
  2. Step 2: Convert to fraction form
    412,933.80/619,400.70 = 132,479.40/x
  3. Step 3: Cross multiply
    412,933.80x = 619,400.70 × 132,479.40
  4. Step 4: Simplify right side
    412,933.80x = 82,057,833,095.58
  5. Step 5: Solve for x
    x = 82,057,833,095.58/412,933.80
  6. Step 6: Final answer
    x = 198,719.10

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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.