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Finding the Fourth Proportional to 374,712.98, 517,116.24 and 204,947.11

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Solution

The fourth proportional to 374,712.98, 517,116.24 and 204,947.11 is: 282,833.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,712.98 : 517,116.24 = 204,947.11 : x
  2. Step 2: Convert to fraction form
    374,712.98/517,116.24 = 204,947.11/x
  3. Step 3: Cross multiply
    374,712.98x = 517,116.24 × 204,947.11
  4. Step 4: Simplify right side
    374,712.98x = 105,981,475,311.75
  5. Step 5: Solve for x
    x = 105,981,475,311.75/374,712.98
  6. Step 6: Final answer
    x = 282,833.74

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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.