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Finding the Fourth Proportional to 463,134.98, 695,034.57 and 197,082.38

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Solution

The fourth proportional to 463,134.98, 695,034.57 and 197,082.38 is: 295,764.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,134.98 : 695,034.57 = 197,082.38 : x
  2. Step 2: Convert to fraction form
    463,134.98/695,034.57 = 197,082.38/x
  3. Step 3: Cross multiply
    463,134.98x = 695,034.57 × 197,082.38
  4. Step 4: Simplify right side
    463,134.98x = 136,979,067,237.88
  5. Step 5: Solve for x
    x = 136,979,067,237.88/463,134.98
  6. Step 6: Final answer
    x = 295,764.89

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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.