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Finding the Fourth Proportional to 317,884.30, 476,359.89 and 159,895.42

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Solution

The fourth proportional to 317,884.30, 476,359.89 and 159,895.42 is: 239,608.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,884.30 : 476,359.89 = 159,895.42 : x
  2. Step 2: Convert to fraction form
    317,884.30/476,359.89 = 159,895.42/x
  3. Step 3: Cross multiply
    317,884.30x = 476,359.89 × 159,895.42
  4. Step 4: Simplify right side
    317,884.30x = 76,167,762,892.20
  5. Step 5: Solve for x
    x = 76,167,762,892.20/317,884.30
  6. Step 6: Final answer
    x = 239,608.45

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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.