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Finding the Fourth Proportional to 427,720.38, 641,288.97 and 216,951.90

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Solution

The fourth proportional to 427,720.38, 641,288.97 and 216,951.90 is: 325,279.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,720.38 : 641,288.97 = 216,951.90 : x
  2. Step 2: Convert to fraction form
    427,720.38/641,288.97 = 216,951.90/x
  3. Step 3: Cross multiply
    427,720.38x = 641,288.97 × 216,951.90
  4. Step 4: Simplify right side
    427,720.38x = 139,128,860,490.54
  5. Step 5: Solve for x
    x = 139,128,860,490.54/427,720.38
  6. Step 6: Final answer
    x = 325,279.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.