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Finding the Fourth Proportional to 256,464.32, 384,648.16 and 69,451.20

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Solution

The fourth proportional to 256,464.32, 384,648.16 and 69,451.20 is: 104,163.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,464.32 : 384,648.16 = 69,451.20 : x
  2. Step 2: Convert to fraction form
    256,464.32/384,648.16 = 69,451.20/x
  3. Step 3: Cross multiply
    256,464.32x = 384,648.16 × 69,451.20
  4. Step 4: Simplify right side
    256,464.32x = 26,714,276,289.79
  5. Step 5: Solve for x
    x = 26,714,276,289.79/256,464.32
  6. Step 6: Final answer
    x = 104,163.71

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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.