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Finding the Fourth Proportional to 317,233.80, 475,846.56 and 77,348.88

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Solution

The fourth proportional to 317,233.80, 475,846.56 and 77,348.88 is: 116,022.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,233.80 : 475,846.56 = 77,348.88 : x
  2. Step 2: Convert to fraction form
    317,233.80/475,846.56 = 77,348.88/x
  3. Step 3: Cross multiply
    317,233.80x = 475,846.56 × 77,348.88
  4. Step 4: Simplify right side
    317,233.80x = 36,806,198,467.85
  5. Step 5: Solve for x
    x = 36,806,198,467.85/317,233.80
  6. Step 6: Final answer
    x = 116,022.31

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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.