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Finding the Fourth Proportional to 498,099, 747,265.14 and 165,675

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Solution

The fourth proportional to 498,099, 747,265.14 and 165,675 is: 248,551.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,099 : 747,265.14 = 165,675 : x
  2. Step 2: Convert to fraction form
    498,099/747,265.14 = 165,675/x
  3. Step 3: Cross multiply
    498,099x = 747,265.14 × 165,675
  4. Step 4: Simplify right side
    498,099x = 123,803,152,069.50
  5. Step 5: Solve for x
    x = 123,803,152,069.50/498,099
  6. Step 6: Final answer
    x = 248,551.30

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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.