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Finding the Fourth Proportional to 497,773.55, 686,764.98 and 293,755.61

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Solution

The fourth proportional to 497,773.55, 686,764.98 and 293,755.61 is: 405,286.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,773.55 : 686,764.98 = 293,755.61 : x
  2. Step 2: Convert to fraction form
    497,773.55/686,764.98 = 293,755.61/x
  3. Step 3: Cross multiply
    497,773.55x = 686,764.98 × 293,755.61
  4. Step 4: Simplify right side
    497,773.55x = 201,741,067,343.45
  5. Step 5: Solve for x
    x = 201,741,067,343.45/497,773.55
  6. Step 6: Final answer
    x = 405,286.83

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Why These Related Problems?

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