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Finding the Fourth Proportional to 409,984.62, 614,552.49 and 199,360.86

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Solution

The fourth proportional to 409,984.62, 614,552.49 and 199,360.86 is: 298,834.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,984.62 : 614,552.49 = 199,360.86 : x
  2. Step 2: Convert to fraction form
    409,984.62/614,552.49 = 199,360.86/x
  3. Step 3: Cross multiply
    409,984.62x = 614,552.49 × 199,360.86
  4. Step 4: Simplify right side
    409,984.62x = 122,517,712,921.54
  5. Step 5: Solve for x
    x = 122,517,712,921.54/409,984.62
  6. Step 6: Final answer
    x = 298,834.90

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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.