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Finding the Fourth Proportional to 498,701.80, 748,052.70 and 444,788.20

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Solution

The fourth proportional to 498,701.80, 748,052.70 and 444,788.20 is: 667,182.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,701.80 : 748,052.70 = 444,788.20 : x
  2. Step 2: Convert to fraction form
    498,701.80/748,052.70 = 444,788.20/x
  3. Step 3: Cross multiply
    498,701.80x = 748,052.70 × 444,788.20
  4. Step 4: Simplify right side
    498,701.80x = 332,725,013,938.14
  5. Step 5: Solve for x
    x = 332,725,013,938.14/498,701.80
  6. Step 6: Final answer
    x = 667,182.30

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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.