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Finding the Fourth Proportional to 317,094.47, 475,650.36 and 92,449.47

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Solution

The fourth proportional to 317,094.47, 475,650.36 and 92,449.47 is: 138,676.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,094.47 : 475,650.36 = 92,449.47 : x
  2. Step 2: Convert to fraction form
    317,094.47/475,650.36 = 92,449.47/x
  3. Step 3: Cross multiply
    317,094.47x = 475,650.36 × 92,449.47
  4. Step 4: Simplify right side
    317,094.47x = 43,973,623,687.31
  5. Step 5: Solve for x
    x = 43,973,623,687.31/317,094.47
  6. Step 6: Final answer
    x = 138,676.73

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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.