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Finding the Fourth Proportional to 317,460.80, 476,248.80 and 159,291.20

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Solution

The fourth proportional to 317,460.80, 476,248.80 and 159,291.20 is: 238,965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,460.80 : 476,248.80 = 159,291.20 : x
  2. Step 2: Convert to fraction form
    317,460.80/476,248.80 = 159,291.20/x
  3. Step 3: Cross multiply
    317,460.80x = 476,248.80 × 159,291.20
  4. Step 4: Simplify right side
    317,460.80x = 75,862,242,850.56
  5. Step 5: Solve for x
    x = 75,862,242,850.56/317,460.80
  6. Step 6: Final answer
    x = 238,965.70

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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.