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Finding the Fourth Proportional to 317,092.88, 475,647.97 and 92,447.88

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Solution

The fourth proportional to 317,092.88, 475,647.97 and 92,447.88 is: 138,674.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,092.88 : 475,647.97 = 92,447.88 : x
  2. Step 2: Convert to fraction form
    317,092.88/475,647.97 = 92,447.88/x
  3. Step 3: Cross multiply
    317,092.88x = 475,647.97 × 92,447.88
  4. Step 4: Simplify right side
    317,092.88x = 43,972,646,395.02
  5. Step 5: Solve for x
    x = 43,972,646,395.02/317,092.88
  6. Step 6: Final answer
    x = 138,674.34

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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.