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Finding the Fourth Proportional to 461,041.88, 691,144.19 and 161,358.98

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Solution

The fourth proportional to 461,041.88, 691,144.19 and 161,358.98 is: 241,891.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,041.88 : 691,144.19 = 161,358.98 : x
  2. Step 2: Convert to fraction form
    461,041.88/691,144.19 = 161,358.98/x
  3. Step 3: Cross multiply
    461,041.88x = 691,144.19 × 161,358.98
  4. Step 4: Simplify right side
    461,041.88x = 111,522,318,479.00
  5. Step 5: Solve for x
    x = 111,522,318,479.00/461,041.88
  6. Step 6: Final answer
    x = 241,891.95

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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.