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Finding the Fourth Proportional to 377,882.40, 565,657.20 and 219,640.80

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Solution

The fourth proportional to 377,882.40, 565,657.20 and 219,640.80 is: 328,783.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,882.40 : 565,657.20 = 219,640.80 : x
  2. Step 2: Convert to fraction form
    377,882.40/565,657.20 = 219,640.80/x
  3. Step 3: Cross multiply
    377,882.40x = 565,657.20 × 219,640.80
  4. Step 4: Simplify right side
    377,882.40x = 124,241,399,933.76
  5. Step 5: Solve for x
    x = 124,241,399,933.76/377,882.40
  6. Step 6: Final answer
    x = 328,783.24

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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.