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Finding the Fourth Proportional to 283,347.38, 391,006.77 and 162,401.96

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Solution

The fourth proportional to 283,347.38, 391,006.77 and 162,401.96 is: 224,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,347.38 : 391,006.77 = 162,401.96 : x
  2. Step 2: Convert to fraction form
    283,347.38/391,006.77 = 162,401.96/x
  3. Step 3: Cross multiply
    283,347.38x = 391,006.77 × 162,401.96
  4. Step 4: Simplify right side
    283,347.38x = 63,500,265,821.27
  5. Step 5: Solve for x
    x = 63,500,265,821.27/283,347.38
  6. Step 6: Final answer
    x = 224,107.47

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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.