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Finding the Fourth Proportional to 465,846.28, 698,561.48 and 324,599.06

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Solution

The fourth proportional to 465,846.28, 698,561.48 and 324,599.06 is: 486,753.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,846.28 : 698,561.48 = 324,599.06 : x
  2. Step 2: Convert to fraction form
    465,846.28/698,561.48 = 324,599.06/x
  3. Step 3: Cross multiply
    465,846.28x = 698,561.48 × 324,599.06
  4. Step 4: Simplify right side
    465,846.28x = 226,752,399,760.21
  5. Step 5: Solve for x
    x = 226,752,399,760.21/465,846.28
  6. Step 6: Final answer
    x = 486,753.70

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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.