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Finding the Fourth Proportional to 465,711.92, 698,838.92 and 195,820.53

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Solution

The fourth proportional to 465,711.92, 698,838.92 and 195,820.53 is: 293,844.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,711.92 : 698,838.92 = 195,820.53 : x
  2. Step 2: Convert to fraction form
    465,711.92/698,838.92 = 195,820.53/x
  3. Step 3: Cross multiply
    465,711.92x = 698,838.92 × 195,820.53
  4. Step 4: Simplify right side
    465,711.92x = 136,847,007,699.03
  5. Step 5: Solve for x
    x = 136,847,007,699.03/465,711.92
  6. Step 6: Final answer
    x = 293,844.76

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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.