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Finding the Fourth Proportional to 410,012.28, 565,720.56 and 248,863.32

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Solution

The fourth proportional to 410,012.28, 565,720.56 and 248,863.32 is: 343,372.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,012.28 : 565,720.56 = 248,863.32 : x
  2. Step 2: Convert to fraction form
    410,012.28/565,720.56 = 248,863.32/x
  3. Step 3: Cross multiply
    410,012.28x = 565,720.56 × 248,863.32
  4. Step 4: Simplify right side
    410,012.28x = 140,787,096,753.86
  5. Step 5: Solve for x
    x = 140,787,096,753.86/410,012.28
  6. Step 6: Final answer
    x = 343,372.88

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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.