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Finding the Fourth Proportional to 461,208.80, 691,942.80 and 224,559.20

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Solution

The fourth proportional to 461,208.80, 691,942.80 and 224,559.20 is: 336,901.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,208.80 : 691,942.80 = 224,559.20 : x
  2. Step 2: Convert to fraction form
    461,208.80/691,942.80 = 224,559.20/x
  3. Step 3: Cross multiply
    461,208.80x = 691,942.80 × 224,559.20
  4. Step 4: Simplify right side
    461,208.80x = 155,382,121,613.76
  5. Step 5: Solve for x
    x = 155,382,121,613.76/461,208.80
  6. Step 6: Final answer
    x = 336,901.90

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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.