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Finding the Fourth Proportional to 542,613.77, 814,037.31 and 182,820.38

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Solution

The fourth proportional to 542,613.77, 814,037.31 and 182,820.38 is: 274,269.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,613.77 : 814,037.31 = 182,820.38 : x
  2. Step 2: Convert to fraction form
    542,613.77/814,037.31 = 182,820.38/x
  3. Step 3: Cross multiply
    542,613.77x = 814,037.31 × 182,820.38
  4. Step 4: Simplify right side
    542,613.77x = 148,822,606,278.19
  5. Step 5: Solve for x
    x = 148,822,606,278.19/542,613.77
  6. Step 6: Final answer
    x = 274,269.87

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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.