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Finding the Fourth Proportional to 410,847.80, 566,959.32 and 229,561.20

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Solution

The fourth proportional to 410,847.80, 566,959.32 and 229,561.20 is: 316,788.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,847.80 : 566,959.32 = 229,561.20 : x
  2. Step 2: Convert to fraction form
    410,847.80/566,959.32 = 229,561.20/x
  3. Step 3: Cross multiply
    410,847.80x = 566,959.32 × 229,561.20
  4. Step 4: Simplify right side
    410,847.80x = 130,151,861,850.38
  5. Step 5: Solve for x
    x = 130,151,861,850.38/410,847.80
  6. Step 6: Final answer
    x = 316,788.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.