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Finding the Fourth Proportional to 412,767.48, 619,151.88 and 113,252.16

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Solution

The fourth proportional to 412,767.48, 619,151.88 and 113,252.16 is: 169,878.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,767.48 : 619,151.88 = 113,252.16 : x
  2. Step 2: Convert to fraction form
    412,767.48/619,151.88 = 113,252.16/x
  3. Step 3: Cross multiply
    412,767.48x = 619,151.88 × 113,252.16
  4. Step 4: Simplify right side
    412,767.48x = 70,120,287,778.06
  5. Step 5: Solve for x
    x = 70,120,287,778.06/412,767.48
  6. Step 6: Final answer
    x = 169,878.42

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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.