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Finding the Fourth Proportional to 408,219.52, 612,340.80 and 112,731.52

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Solution

The fourth proportional to 408,219.52, 612,340.80 and 112,731.52 is: 169,100.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,219.52 : 612,340.80 = 112,731.52 : x
  2. Step 2: Convert to fraction form
    408,219.52/612,340.80 = 112,731.52/x
  3. Step 3: Cross multiply
    408,219.52x = 612,340.80 × 112,731.52
  4. Step 4: Simplify right side
    408,219.52x = 69,030,109,142.02
  5. Step 5: Solve for x
    x = 69,030,109,142.02/408,219.52
  6. Step 6: Final answer
    x = 169,100.46

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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.