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Finding the Fourth Proportional to 286,029.38, 394,729.41 and 158,716.82

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Solution

The fourth proportional to 286,029.38, 394,729.41 and 158,716.82 is: 219,034.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,029.38 : 394,729.41 = 158,716.82 : x
  2. Step 2: Convert to fraction form
    286,029.38/394,729.41 = 158,716.82/x
  3. Step 3: Cross multiply
    286,029.38x = 394,729.41 × 158,716.82
  4. Step 4: Simplify right side
    286,029.38x = 62,650,196,715.68
  5. Step 5: Solve for x
    x = 62,650,196,715.68/286,029.38
  6. Step 6: Final answer
    x = 219,034.13

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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.