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Finding the Fourth Proportional to 256,462.32, 384,645.16 and 69,449.20

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Solution

The fourth proportional to 256,462.32, 384,645.16 and 69,449.20 is: 104,160.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,462.32 : 384,645.16 = 69,449.20 : x
  2. Step 2: Convert to fraction form
    256,462.32/384,645.16 = 69,449.20/x
  3. Step 3: Cross multiply
    256,462.32x = 384,645.16 × 69,449.20
  4. Step 4: Simplify right side
    256,462.32x = 26,713,298,645.87
  5. Step 5: Solve for x
    x = 26,713,298,645.87/256,462.32
  6. Step 6: Final answer
    x = 104,160.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.