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Finding the Fourth Proportional to 311,921.80, 467,882.70 and 309,297.40

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Solution

The fourth proportional to 311,921.80, 467,882.70 and 309,297.40 is: 463,946.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,921.80 : 467,882.70 = 309,297.40 : x
  2. Step 2: Convert to fraction form
    311,921.80/467,882.70 = 309,297.40/x
  3. Step 3: Cross multiply
    311,921.80x = 467,882.70 × 309,297.40
  4. Step 4: Simplify right side
    311,921.80x = 144,714,902,614.98
  5. Step 5: Solve for x
    x = 144,714,902,614.98/311,921.80
  6. Step 6: Final answer
    x = 463,946.10

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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.