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Finding the Fourth Proportional to 498,847.20, 748,270.80 and 433,893.30

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Solution

The fourth proportional to 498,847.20, 748,270.80 and 433,893.30 is: 650,839.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,847.20 : 748,270.80 = 433,893.30 : x
  2. Step 2: Convert to fraction form
    498,847.20/748,270.80 = 433,893.30/x
  3. Step 3: Cross multiply
    498,847.20x = 748,270.80 × 433,893.30
  4. Step 4: Simplify right side
    498,847.20x = 324,669,686,705.64
  5. Step 5: Solve for x
    x = 324,669,686,705.64/498,847.20
  6. Step 6: Final answer
    x = 650,839.95

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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.