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Finding the Fourth Proportional to 465,710.92, 698,837.42 and 195,819.53

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Solution

The fourth proportional to 465,710.92, 698,837.42 and 195,819.53 is: 293,843.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,710.92 : 698,837.42 = 195,819.53 : x
  2. Step 2: Convert to fraction form
    465,710.92/698,837.42 = 195,819.53/x
  3. Step 3: Cross multiply
    465,710.92x = 698,837.42 × 195,819.53
  4. Step 4: Simplify right side
    465,710.92x = 136,846,012,126.17
  5. Step 5: Solve for x
    x = 136,846,012,126.17/465,710.92
  6. Step 6: Final answer
    x = 293,843.26

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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.