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Finding the Fourth Proportional to 279,920.80, 419,881.20 and 216,935.20

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Solution

The fourth proportional to 279,920.80, 419,881.20 and 216,935.20 is: 325,402.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,920.80 : 419,881.20 = 216,935.20 : x
  2. Step 2: Convert to fraction form
    279,920.80/419,881.20 = 216,935.20/x
  3. Step 3: Cross multiply
    279,920.80x = 419,881.20 × 216,935.20
  4. Step 4: Simplify right side
    279,920.80x = 91,087,012,098.24
  5. Step 5: Solve for x
    x = 91,087,012,098.24/279,920.80
  6. Step 6: Final answer
    x = 325,402.80

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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.