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Finding the Fourth Proportional to 412,640.66, 569,545.40 and 251,584.50

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Solution

The fourth proportional to 412,640.66, 569,545.40 and 251,584.50 is: 347,248.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,640.66 : 569,545.40 = 251,584.50 : x
  2. Step 2: Convert to fraction form
    412,640.66/569,545.40 = 251,584.50/x
  3. Step 3: Cross multiply
    412,640.66x = 569,545.40 × 251,584.50
  4. Step 4: Simplify right side
    412,640.66x = 143,288,794,686.30
  5. Step 5: Solve for x
    x = 143,288,794,686.30/412,640.66
  6. Step 6: Final answer
    x = 347,248.37

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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.