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Finding the Fourth Proportional to 286,085.38, 394,757.52 and 171,337.13

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Solution

The fourth proportional to 286,085.38, 394,757.52 and 171,337.13 is: 236,421.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,085.38 : 394,757.52 = 171,337.13 : x
  2. Step 2: Convert to fraction form
    286,085.38/394,757.52 = 171,337.13/x
  3. Step 3: Cross multiply
    286,085.38x = 394,757.52 × 171,337.13
  4. Step 4: Simplify right side
    286,085.38x = 67,636,621,937.95
  5. Step 5: Solve for x
    x = 67,636,621,937.95/286,085.38
  6. Step 6: Final answer
    x = 236,421.11

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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.