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Finding the Fourth Proportional to 442,608.48, 663,572.52 and 229,147.56

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Solution

The fourth proportional to 442,608.48, 663,572.52 and 229,147.56 is: 343,545.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,608.48 : 663,572.52 = 229,147.56 : x
  2. Step 2: Convert to fraction form
    442,608.48/663,572.52 = 229,147.56/x
  3. Step 3: Cross multiply
    442,608.48x = 663,572.52 × 229,147.56
  4. Step 4: Simplify right side
    442,608.48x = 152,056,023,841.05
  5. Step 5: Solve for x
    x = 152,056,023,841.05/442,608.48
  6. Step 6: Final answer
    x = 343,545.21

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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.