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Finding the Fourth Proportional to 317,470.62, 476,278.66 and 137,586.24

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Solution

The fourth proportional to 317,470.62, 476,278.66 and 137,586.24 is: 206,410.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,470.62 : 476,278.66 = 137,586.24 : x
  2. Step 2: Convert to fraction form
    317,470.62/476,278.66 = 137,586.24/x
  3. Step 3: Cross multiply
    317,470.62x = 476,278.66 × 137,586.24
  4. Step 4: Simplify right side
    317,470.62x = 65,529,390,021.64
  5. Step 5: Solve for x
    x = 65,529,390,021.64/317,470.62
  6. Step 6: Final answer
    x = 206,410.88

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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.