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Finding the Fourth Proportional to 496,407.29, 744,462.90 and 180,790.38

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Solution

The fourth proportional to 496,407.29, 744,462.90 and 180,790.38 is: 271,131.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,407.29 : 744,462.90 = 180,790.38 : x
  2. Step 2: Convert to fraction form
    496,407.29/744,462.90 = 180,790.38/x
  3. Step 3: Cross multiply
    496,407.29x = 744,462.90 × 180,790.38
  4. Step 4: Simplify right side
    496,407.29x = 134,591,730,586.90
  5. Step 5: Solve for x
    x = 134,591,730,586.90/496,407.29
  6. Step 6: Final answer
    x = 271,131.66

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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.