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Finding the Fourth Proportional to 462,839.20, 694,297.20 and 147,287.20

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Solution

The fourth proportional to 462,839.20, 694,297.20 and 147,287.20 is: 220,943.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,839.20 : 694,297.20 = 147,287.20 : x
  2. Step 2: Convert to fraction form
    462,839.20/694,297.20 = 147,287.20/x
  3. Step 3: Cross multiply
    462,839.20x = 694,297.20 × 147,287.20
  4. Step 4: Simplify right side
    462,839.20x = 102,261,090,555.84
  5. Step 5: Solve for x
    x = 102,261,090,555.84/462,839.20
  6. Step 6: Final answer
    x = 220,943.02

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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.