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Finding the Fourth Proportional to 377,008.20, 565,512.30 and 216,919.80

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Solution

The fourth proportional to 377,008.20, 565,512.30 and 216,919.80 is: 325,379.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,008.20 : 565,512.30 = 216,919.80 : x
  2. Step 2: Convert to fraction form
    377,008.20/565,512.30 = 216,919.80/x
  3. Step 3: Cross multiply
    377,008.20x = 565,512.30 × 216,919.80
  4. Step 4: Simplify right side
    377,008.20x = 122,670,815,013.54
  5. Step 5: Solve for x
    x = 122,670,815,013.54/377,008.20
  6. Step 6: Final answer
    x = 325,379.70

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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.