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Finding the Fourth Proportional to 349,606.28, 482,498.10 and 198,725.96

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Solution

The fourth proportional to 349,606.28, 482,498.10 and 198,725.96 is: 274,265.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,606.28 : 482,498.10 = 198,725.96 : x
  2. Step 2: Convert to fraction form
    349,606.28/482,498.10 = 198,725.96/x
  3. Step 3: Cross multiply
    349,606.28x = 482,498.10 × 198,725.96
  4. Step 4: Simplify right side
    349,606.28x = 95,884,898,120.68
  5. Step 5: Solve for x
    x = 95,884,898,120.68/349,606.28
  6. Step 6: Final answer
    x = 274,265.38

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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.