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Finding the Fourth Proportional to 313,921.80, 470,882.70 and 181,211.40

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Solution

The fourth proportional to 313,921.80, 470,882.70 and 181,211.40 is: 271,817.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,921.80 : 470,882.70 = 181,211.40 : x
  2. Step 2: Convert to fraction form
    313,921.80/470,882.70 = 181,211.40/x
  3. Step 3: Cross multiply
    313,921.80x = 470,882.70 × 181,211.40
  4. Step 4: Simplify right side
    313,921.80x = 85,329,313,302.78
  5. Step 5: Solve for x
    x = 85,329,313,302.78/313,921.80
  6. Step 6: Final answer
    x = 271,817.10

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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.