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Finding the Fourth Proportional to 494,101.72, 681,609.90 and 312,507.82

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Solution

The fourth proportional to 494,101.72, 681,609.90 and 312,507.82 is: 431,102.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,101.72 : 681,609.90 = 312,507.82 : x
  2. Step 2: Convert to fraction form
    494,101.72/681,609.90 = 312,507.82/x
  3. Step 3: Cross multiply
    494,101.72x = 681,609.90 × 312,507.82
  4. Step 4: Simplify right side
    494,101.72x = 213,008,423,939.42
  5. Step 5: Solve for x
    x = 213,008,423,939.42/494,101.72
  6. Step 6: Final answer
    x = 431,102.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.