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Finding the Fourth Proportional to 397,344.80, 595,628.40 and 160,371.20

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Solution

The fourth proportional to 397,344.80, 595,628.40 and 160,371.20 is: 240,399.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,344.80 : 595,628.40 = 160,371.20 : x
  2. Step 2: Convert to fraction form
    397,344.80/595,628.40 = 160,371.20/x
  3. Step 3: Cross multiply
    397,344.80x = 595,628.40 × 160,371.20
  4. Step 4: Simplify right side
    397,344.80x = 95,521,641,262.08
  5. Step 5: Solve for x
    x = 95,521,641,262.08/397,344.80
  6. Step 6: Final answer
    x = 240,399.88

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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.