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Finding the Fourth Proportional to 408,046.60, 612,069.90 and 171,656.20

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Solution

The fourth proportional to 408,046.60, 612,069.90 and 171,656.20 is: 257,484.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,046.60 : 612,069.90 = 171,656.20 : x
  2. Step 2: Convert to fraction form
    408,046.60/612,069.90 = 171,656.20/x
  3. Step 3: Cross multiply
    408,046.60x = 612,069.90 × 171,656.20
  4. Step 4: Simplify right side
    408,046.60x = 105,065,593,168.38
  5. Step 5: Solve for x
    x = 105,065,593,168.38/408,046.60
  6. Step 6: Final answer
    x = 257,484.30

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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.