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Finding the Fourth Proportional to 408,023.60, 611,816.70 and 171,098.60

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Solution

The fourth proportional to 408,023.60, 611,816.70 and 171,098.60 is: 256,556.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,023.60 : 611,816.70 = 171,098.60 : x
  2. Step 2: Convert to fraction form
    408,023.60/611,816.70 = 171,098.60/x
  3. Step 3: Cross multiply
    408,023.60x = 611,816.70 × 171,098.60
  4. Step 4: Simplify right side
    408,023.60x = 104,680,980,826.62
  5. Step 5: Solve for x
    x = 104,680,980,826.62/408,023.60
  6. Step 6: Final answer
    x = 256,556.19

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1.5x scale

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.