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Finding the Fourth Proportional to 408,023.10, 611,815.95 and 171,098.10

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Solution

The fourth proportional to 408,023.10, 611,815.95 and 171,098.10 is: 256,555.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,023.10 : 611,815.95 = 171,098.10 : x
  2. Step 2: Convert to fraction form
    408,023.10/611,815.95 = 171,098.10/x
  3. Step 3: Cross multiply
    408,023.10x = 611,815.95 × 171,098.10
  4. Step 4: Simplify right side
    408,023.10x = 104,680,546,594.70
  5. Step 5: Solve for x
    x = 104,680,546,594.70/408,023.10
  6. Step 6: Final answer
    x = 256,555.44

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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.