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Finding the Fourth Proportional to 341,867.20, 512,800.80 and 229,892.80

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Solution

The fourth proportional to 341,867.20, 512,800.80 and 229,892.80 is: 344,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,867.20 : 512,800.80 = 229,892.80 : x
  2. Step 2: Convert to fraction form
    341,867.20/512,800.80 = 229,892.80/x
  3. Step 3: Cross multiply
    341,867.20x = 512,800.80 × 229,892.80
  4. Step 4: Simplify right side
    341,867.20x = 117,889,211,754.24
  5. Step 5: Solve for x
    x = 117,889,211,754.24/341,867.20
  6. Step 6: Final answer
    x = 344,839.20

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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.