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Finding the Fourth Proportional to 317,697.20, 476,891.40 and 177,729.20

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Solution

The fourth proportional to 317,697.20, 476,891.40 and 177,729.20 is: 266,787.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,697.20 : 476,891.40 = 177,729.20 : x
  2. Step 2: Convert to fraction form
    317,697.20/476,891.40 = 177,729.20/x
  3. Step 3: Cross multiply
    317,697.20x = 476,891.40 × 177,729.20
  4. Step 4: Simplify right side
    317,697.20x = 84,757,527,008.88
  5. Step 5: Solve for x
    x = 84,757,527,008.88/317,697.20
  6. Step 6: Final answer
    x = 266,787.14

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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.