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Finding the Fourth Proportional to 397,487.80, 595,842.90 and 160,514.20

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Solution

The fourth proportional to 397,487.80, 595,842.90 and 160,514.20 is: 240,614.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,487.80 : 595,842.90 = 160,514.20 : x
  2. Step 2: Convert to fraction form
    397,487.80/595,842.90 = 160,514.20/x
  3. Step 3: Cross multiply
    397,487.80x = 595,842.90 × 160,514.20
  4. Step 4: Simplify right side
    397,487.80x = 95,641,246,419.18
  5. Step 5: Solve for x
    x = 95,641,246,419.18/397,487.80
  6. Step 6: Final answer
    x = 240,614.29

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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.