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Finding the Fourth Proportional to 410,247.46, 566,142.02 and 228,959.38

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Solution

The fourth proportional to 410,247.46, 566,142.02 and 228,959.38 is: 315,964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,247.46 : 566,142.02 = 228,959.38 : x
  2. Step 2: Convert to fraction form
    410,247.46/566,142.02 = 228,959.38/x
  3. Step 3: Cross multiply
    410,247.46x = 566,142.02 × 228,959.38
  4. Step 4: Simplify right side
    410,247.46x = 129,623,525,891.15
  5. Step 5: Solve for x
    x = 129,623,525,891.15/410,247.46
  6. Step 6: Final answer
    x = 315,964.24

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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.