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Finding the Fourth Proportional to 317,296.80, 476,722.80 and 238,564.80

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Solution

The fourth proportional to 317,296.80, 476,722.80 and 238,564.80 is: 358,431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,296.80 : 476,722.80 = 238,564.80 : x
  2. Step 2: Convert to fraction form
    317,296.80/476,722.80 = 238,564.80/x
  3. Step 3: Cross multiply
    317,296.80x = 476,722.80 × 238,564.80
  4. Step 4: Simplify right side
    317,296.80x = 113,729,279,437.44
  5. Step 5: Solve for x
    x = 113,729,279,437.44/317,296.80
  6. Step 6: Final answer
    x = 358,431.85

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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.