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Finding the Fourth Proportional to 496,151.46, 744,402.15 and 180,640.26

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Solution

The fourth proportional to 496,151.46, 744,402.15 and 180,640.26 is: 271,024.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,151.46 : 744,402.15 = 180,640.26 : x
  2. Step 2: Convert to fraction form
    496,151.46/744,402.15 = 180,640.26/x
  3. Step 3: Cross multiply
    496,151.46x = 744,402.15 × 180,640.26
  4. Step 4: Simplify right side
    496,151.46x = 134,468,997,920.56
  5. Step 5: Solve for x
    x = 134,468,997,920.56/496,151.46
  6. Step 6: Final answer
    x = 271,024.09

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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.