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Finding the Fourth Proportional to 317,605.41, 476,405.31 and 140,112.57

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Solution

The fourth proportional to 317,605.41, 476,405.31 and 140,112.57 is: 210,167.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,605.41 : 476,405.31 = 140,112.57 : x
  2. Step 2: Convert to fraction form
    317,605.41/476,405.31 = 140,112.57/x
  3. Step 3: Cross multiply
    317,605.41x = 476,405.31 × 140,112.57
  4. Step 4: Simplify right side
    317,605.41x = 66,750,372,345.75
  5. Step 5: Solve for x
    x = 66,750,372,345.75/317,605.41
  6. Step 6: Final answer
    x = 210,167.62

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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.