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Finding the Fourth Proportional to 408,055.60, 612,083.40 and 171,665.20

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Solution

The fourth proportional to 408,055.60, 612,083.40 and 171,665.20 is: 257,497.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,055.60 : 612,083.40 = 171,665.20 : x
  2. Step 2: Convert to fraction form
    408,055.60/612,083.40 = 171,665.20/x
  3. Step 3: Cross multiply
    408,055.60x = 612,083.40 × 171,665.20
  4. Step 4: Simplify right side
    408,055.60x = 105,073,419,277.68
  5. Step 5: Solve for x
    x = 105,073,419,277.68/408,055.60
  6. Step 6: Final answer
    x = 257,497.80

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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.