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Finding the Fourth Proportional to 400,256.56, 600,385.84 and 163,599.20

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Solution

The fourth proportional to 400,256.56, 600,385.84 and 163,599.20 is: 245,399.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,256.56 : 600,385.84 = 163,599.20 : x
  2. Step 2: Convert to fraction form
    400,256.56/600,385.84 = 163,599.20/x
  3. Step 3: Cross multiply
    400,256.56x = 600,385.84 × 163,599.20
  4. Step 4: Simplify right side
    400,256.56x = 98,222,643,115.33
  5. Step 5: Solve for x
    x = 98,222,643,115.33/400,256.56
  6. Step 6: Final answer
    x = 245,399.21

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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.