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Finding the Fourth Proportional to 397,456.80, 596,171.52 and 113,149.11

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Solution

The fourth proportional to 397,456.80, 596,171.52 and 113,149.11 is: 169,719.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,456.80 : 596,171.52 = 113,149.11 : x
  2. Step 2: Convert to fraction form
    397,456.80/596,171.52 = 113,149.11/x
  3. Step 3: Cross multiply
    397,456.80x = 596,171.52 × 113,149.11
  4. Step 4: Simplify right side
    397,456.80x = 67,456,276,895.35
  5. Step 5: Solve for x
    x = 67,456,276,895.35/397,456.80
  6. Step 6: Final answer
    x = 169,719.77

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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.