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Finding the Fourth Proportional to 397,180.80, 595,382.40 and 160,207.20

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Solution

The fourth proportional to 397,180.80, 595,382.40 and 160,207.20 is: 240,153.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,180.80 : 595,382.40 = 160,207.20 : x
  2. Step 2: Convert to fraction form
    397,180.80/595,382.40 = 160,207.20/x
  3. Step 3: Cross multiply
    397,180.80x = 595,382.40 × 160,207.20
  4. Step 4: Simplify right side
    397,180.80x = 95,384,547,233.28
  5. Step 5: Solve for x
    x = 95,384,547,233.28/397,180.80
  6. Step 6: Final answer
    x = 240,153.97

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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.