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Finding the Fourth Proportional to 469,777.76, 704,691.22 and 132,843.06

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Solution

The fourth proportional to 469,777.76, 704,691.22 and 132,843.06 is: 199,271.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,777.76 : 704,691.22 = 132,843.06 : x
  2. Step 2: Convert to fraction form
    469,777.76/704,691.22 = 132,843.06/x
  3. Step 3: Cross multiply
    469,777.76x = 704,691.22 × 132,843.06
  4. Step 4: Simplify right side
    469,777.76x = 93,613,338,019.93
  5. Step 5: Solve for x
    x = 93,613,338,019.93/469,777.76
  6. Step 6: Final answer
    x = 199,271.54

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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.