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Finding the Fourth Proportional to 313,679.28, 470,254.42 and 136,052.52

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Solution

The fourth proportional to 313,679.28, 470,254.42 and 136,052.52 is: 203,964.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,679.28 : 470,254.42 = 136,052.52 : x
  2. Step 2: Convert to fraction form
    313,679.28/470,254.42 = 136,052.52/x
  3. Step 3: Cross multiply
    313,679.28x = 470,254.42 × 136,052.52
  4. Step 4: Simplify right side
    313,679.28x = 63,979,298,882.14
  5. Step 5: Solve for x
    x = 63,979,298,882.14/313,679.28
  6. Step 6: Final answer
    x = 203,964.06

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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.