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Finding the Fourth Proportional to 410,471.76, 566,445.64 and 229,186.78

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Solution

The fourth proportional to 410,471.76, 566,445.64 and 229,186.78 is: 316,274.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,471.76 : 566,445.64 = 229,186.78 : x
  2. Step 2: Convert to fraction form
    410,471.76/566,445.64 = 229,186.78/x
  3. Step 3: Cross multiply
    410,471.76x = 566,445.64 × 229,186.78
  4. Step 4: Simplify right side
    410,471.76x = 129,821,852,276.64
  5. Step 5: Solve for x
    x = 129,821,852,276.64/410,471.76
  6. Step 6: Final answer
    x = 316,274.75

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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.