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Finding the Fourth Proportional to 412,856.88, 569,863.48 and 269,639.20

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Solution

The fourth proportional to 412,856.88, 569,863.48 and 269,639.20 is: 372,181.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,856.88 : 569,863.48 = 269,639.20 : x
  2. Step 2: Convert to fraction form
    412,856.88/569,863.48 = 269,639.20/x
  3. Step 3: Cross multiply
    412,856.88x = 569,863.48 × 269,639.20
  4. Step 4: Simplify right side
    412,856.88x = 153,657,532,856.42
  5. Step 5: Solve for x
    x = 153,657,532,856.42/412,856.88
  6. Step 6: Final answer
    x = 372,181.11

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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.