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Finding the Fourth Proportional to 484,112.80, 724,441.20 and 306,704.80

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Solution

The fourth proportional to 484,112.80, 724,441.20 and 306,704.80 is: 458,962.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,112.80 : 724,441.20 = 306,704.80 : x
  2. Step 2: Convert to fraction form
    484,112.80/724,441.20 = 306,704.80/x
  3. Step 3: Cross multiply
    484,112.80x = 724,441.20 × 306,704.80
  4. Step 4: Simplify right side
    484,112.80x = 222,189,593,357.76
  5. Step 5: Solve for x
    x = 222,189,593,357.76/484,112.80
  6. Step 6: Final answer
    x = 458,962.44

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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.