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Finding the Fourth Proportional to 412,702.56, 569,531.52 and 269,377.92

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Solution

The fourth proportional to 412,702.56, 569,531.52 and 269,377.92 is: 371,742.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,702.56 : 569,531.52 = 269,377.92 : x
  2. Step 2: Convert to fraction form
    412,702.56/569,531.52 = 269,377.92/x
  3. Step 3: Cross multiply
    412,702.56x = 569,531.52 × 269,377.92
  4. Step 4: Simplify right side
    412,702.56x = 153,419,216,232.04
  5. Step 5: Solve for x
    x = 153,419,216,232.04/412,702.56
  6. Step 6: Final answer
    x = 371,742.83

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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.