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Finding the Fourth Proportional to 461,116.80, 691,804.80 and 224,467.20

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Solution

The fourth proportional to 461,116.80, 691,804.80 and 224,467.20 is: 336,763.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,116.80 : 691,804.80 = 224,467.20 : x
  2. Step 2: Convert to fraction form
    461,116.80/691,804.80 = 224,467.20/x
  3. Step 3: Cross multiply
    461,116.80x = 691,804.80 × 224,467.20
  4. Step 4: Simplify right side
    461,116.80x = 155,287,486,402.56
  5. Step 5: Solve for x
    x = 155,287,486,402.56/461,116.80
  6. Step 6: Final answer
    x = 336,763.89

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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.