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Finding the Fourth Proportional to 461,368.80, 691,275.60 and 224,200.80

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Solution

The fourth proportional to 461,368.80, 691,275.60 and 224,200.80 is: 335,923.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,368.80 : 691,275.60 = 224,200.80 : x
  2. Step 2: Convert to fraction form
    461,368.80/691,275.60 = 224,200.80/x
  3. Step 3: Cross multiply
    461,368.80x = 691,275.60 × 224,200.80
  4. Step 4: Simplify right side
    461,368.80x = 154,984,542,540.48
  5. Step 5: Solve for x
    x = 154,984,542,540.48/461,368.80
  6. Step 6: Final answer
    x = 335,923.33

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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.