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Finding the Fourth Proportional to 297,532.55, 410,593.38 and 161,565.30

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Solution

The fourth proportional to 297,532.55, 410,593.38 and 161,565.30 is: 222,959.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,532.55 : 410,593.38 = 161,565.30 : x
  2. Step 2: Convert to fraction form
    297,532.55/410,593.38 = 161,565.30/x
  3. Step 3: Cross multiply
    297,532.55x = 410,593.38 × 161,565.30
  4. Step 4: Simplify right side
    297,532.55x = 66,337,642,617.71
  5. Step 5: Solve for x
    x = 66,337,642,617.71/297,532.55
  6. Step 6: Final answer
    x = 222,959.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.