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Finding the Fourth Proportional to 296,248.10, 408,708.22 and 205,558.68

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Solution

The fourth proportional to 296,248.10, 408,708.22 and 205,558.68 is: 283,591.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,248.10 : 408,708.22 = 205,558.68 : x
  2. Step 2: Convert to fraction form
    296,248.10/408,708.22 = 205,558.68/x
  3. Step 3: Cross multiply
    296,248.10x = 408,708.22 × 205,558.68
  4. Step 4: Simplify right side
    296,248.10x = 84,013,521,180.56
  5. Step 5: Solve for x
    x = 84,013,521,180.56/296,248.10
  6. Step 6: Final answer
    x = 283,591.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.