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Finding the Fourth Proportional to 564,838.46, 847,255.82 and 205,008.83

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Solution

The fourth proportional to 564,838.46, 847,255.82 and 205,008.83 is: 307,512.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,838.46 : 847,255.82 = 205,008.83 : x
  2. Step 2: Convert to fraction form
    564,838.46/847,255.82 = 205,008.83/x
  3. Step 3: Cross multiply
    564,838.46x = 847,255.82 × 205,008.83
  4. Step 4: Simplify right side
    564,838.46x = 173,694,920,645.13
  5. Step 5: Solve for x
    x = 173,694,920,645.13/564,838.46
  6. Step 6: Final answer
    x = 307,512.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.