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Finding the Fourth Proportional to 498,000.50, 747,007.23 and 165,576.50

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Solution

The fourth proportional to 498,000.50, 747,007.23 and 165,576.50 is: 248,366.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,000.50 : 747,007.23 = 165,576.50 : x
  2. Step 2: Convert to fraction form
    498,000.50/747,007.23 = 165,576.50/x
  3. Step 3: Cross multiply
    498,000.50x = 747,007.23 × 165,576.50
  4. Step 4: Simplify right side
    498,000.50x = 123,686,842,618.10
  5. Step 5: Solve for x
    x = 123,686,842,618.10/498,000.50
  6. Step 6: Final answer
    x = 248,366.90

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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.