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Finding the Fourth Proportional to 498,000.75, 747,007.61 and 165,576.75

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Solution

The fourth proportional to 498,000.75, 747,007.61 and 165,576.75 is: 248,367.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,000.75 : 747,007.61 = 165,576.75 : x
  2. Step 2: Convert to fraction form
    498,000.75/747,007.61 = 165,576.75/x
  3. Step 3: Cross multiply
    498,000.75x = 747,007.61 × 165,576.75
  4. Step 4: Simplify right side
    498,000.75x = 123,687,091,461.18
  5. Step 5: Solve for x
    x = 123,687,091,461.18/498,000.75
  6. Step 6: Final answer
    x = 248,367.28

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1.5x scale

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.