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Finding the Fourth Proportional to 474,986.57, 712,481.20 and 115,156.01

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Solution

The fourth proportional to 474,986.57, 712,481.20 and 115,156.01 is: 172,734.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,986.57 : 712,481.20 = 115,156.01 : x
  2. Step 2: Convert to fraction form
    474,986.57/712,481.20 = 115,156.01/x
  3. Step 3: Cross multiply
    474,986.57x = 712,481.20 × 115,156.01
  4. Step 4: Simplify right side
    474,986.57x = 82,046,493,685.33
  5. Step 5: Solve for x
    x = 82,046,493,685.33/474,986.57
  6. Step 6: Final answer
    x = 172,734.35

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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.