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Finding the Fourth Proportional to 296,251.72, 408,713.22 and 205,562.30

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Solution

The fourth proportional to 296,251.72, 408,713.22 and 205,562.30 is: 283,596.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,251.72 : 408,713.22 = 205,562.30 : x
  2. Step 2: Convert to fraction form
    296,251.72/408,713.22 = 205,562.30/x
  3. Step 3: Cross multiply
    296,251.72x = 408,713.22 × 205,562.30
  4. Step 4: Simplify right side
    296,251.72x = 84,016,029,543.61
  5. Step 5: Solve for x
    x = 84,016,029,543.61/296,251.72
  6. Step 6: Final answer
    x = 283,596.77

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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.