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Finding the Fourth Proportional to 349,471.08, 482,273.46 and 198,569.16

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Solution

The fourth proportional to 349,471.08, 482,273.46 and 198,569.16 is: 274,027.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,471.08 : 482,273.46 = 198,569.16 : x
  2. Step 2: Convert to fraction form
    349,471.08/482,273.46 = 198,569.16/x
  3. Step 3: Cross multiply
    349,471.08x = 482,273.46 × 198,569.16
  4. Step 4: Simplify right side
    349,471.08x = 95,764,635,842.49
  5. Step 5: Solve for x
    x = 95,764,635,842.49/349,471.08
  6. Step 6: Final answer
    x = 274,027.36

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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.