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Finding the Fourth Proportional to 283,465.38, 391,169.26 and 162,599.06

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Solution

The fourth proportional to 283,465.38, 391,169.26 and 162,599.06 is: 224,379.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,465.38 : 391,169.26 = 162,599.06 : x
  2. Step 2: Convert to fraction form
    283,465.38/391,169.26 = 162,599.06/x
  3. Step 3: Cross multiply
    283,465.38x = 391,169.26 × 162,599.06
  4. Step 4: Simplify right side
    283,465.38x = 63,603,753,976.90
  5. Step 5: Solve for x
    x = 63,603,753,976.90/283,465.38
  6. Step 6: Final answer
    x = 224,379.27

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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.