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Finding the Fourth Proportional to 317,508.56, 476,013.16 and 217,365.22

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Solution

The fourth proportional to 317,508.56, 476,013.16 and 217,365.22 is: 325,876.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,508.56 : 476,013.16 = 217,365.22 : x
  2. Step 2: Convert to fraction form
    317,508.56/476,013.16 = 217,365.22/x
  3. Step 3: Cross multiply
    317,508.56x = 476,013.16 × 217,365.22
  4. Step 4: Simplify right side
    317,508.56x = 103,468,704,890.34
  5. Step 5: Solve for x
    x = 103,468,704,890.34/317,508.56
  6. Step 6: Final answer
    x = 325,876.90

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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.