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Finding the Fourth Proportional to 498,017, 747,031.98 and 165,593

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Solution

The fourth proportional to 498,017, 747,031.98 and 165,593 is: 248,391.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,017 : 747,031.98 = 165,593 : x
  2. Step 2: Convert to fraction form
    498,017/747,031.98 = 165,593/x
  3. Step 3: Cross multiply
    498,017x = 747,031.98 × 165,593
  4. Step 4: Simplify right side
    498,017x = 123,703,266,664.14
  5. Step 5: Solve for x
    x = 123,703,266,664.14/498,017
  6. Step 6: Final answer
    x = 248,391.65

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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.