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Finding the Fourth Proportional to 360,861.92, 497,982.56 and 199,717.04

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Solution

The fourth proportional to 360,861.92, 497,982.56 and 199,717.04 is: 275,605.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,861.92 : 497,982.56 = 199,717.04 : x
  2. Step 2: Convert to fraction form
    360,861.92/497,982.56 = 199,717.04/x
  3. Step 3: Cross multiply
    360,861.92x = 497,982.56 × 199,717.04
  4. Step 4: Simplify right side
    360,861.92x = 99,455,602,854.82
  5. Step 5: Solve for x
    x = 99,455,602,854.82/360,861.92
  6. Step 6: Final answer
    x = 275,605.70

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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.