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Finding the Fourth Proportional to 276,656.10, 414,984.15 and 171,680.10

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Solution

The fourth proportional to 276,656.10, 414,984.15 and 171,680.10 is: 257,520.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,656.10 : 414,984.15 = 171,680.10 : x
  2. Step 2: Convert to fraction form
    276,656.10/414,984.15 = 171,680.10/x
  3. Step 3: Cross multiply
    276,656.10x = 414,984.15 × 171,680.10
  4. Step 4: Simplify right side
    276,656.10x = 71,244,520,370.42
  5. Step 5: Solve for x
    x = 71,244,520,370.42/276,656.10
  6. Step 6: Final answer
    x = 257,520.15

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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.