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Finding the Fourth Proportional to 352,560.38, 486,541.52 and 209,320.78

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Solution

The fourth proportional to 352,560.38, 486,541.52 and 209,320.78 is: 288,867.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,560.38 : 486,541.52 = 209,320.78 : x
  2. Step 2: Convert to fraction form
    352,560.38/486,541.52 = 209,320.78/x
  3. Step 3: Cross multiply
    352,560.38x = 486,541.52 × 209,320.78
  4. Step 4: Simplify right side
    352,560.38x = 101,843,250,468.79
  5. Step 5: Solve for x
    x = 101,843,250,468.79/352,560.38
  6. Step 6: Final answer
    x = 288,867.54

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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.