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Finding the Fourth Proportional to 503,791.38, 695,257.83 and 286,015.32

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Solution

The fourth proportional to 503,791.38, 695,257.83 and 286,015.32 is: 394,715.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,791.38 : 695,257.83 = 286,015.32 : x
  2. Step 2: Convert to fraction form
    503,791.38/695,257.83 = 286,015.32/x
  3. Step 3: Cross multiply
    503,791.38x = 695,257.83 × 286,015.32
  4. Step 4: Simplify right side
    503,791.38x = 198,854,390,729.96
  5. Step 5: Solve for x
    x = 198,854,390,729.96/503,791.38
  6. Step 6: Final answer
    x = 394,715.75

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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.