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Finding the Fourth Proportional to 339,773.20, 509,659.80 and 171,811.60

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Solution

The fourth proportional to 339,773.20, 509,659.80 and 171,811.60 is: 257,717.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,773.20 : 509,659.80 = 171,811.60 : x
  2. Step 2: Convert to fraction form
    339,773.20/509,659.80 = 171,811.60/x
  3. Step 3: Cross multiply
    339,773.20x = 509,659.80 × 171,811.60
  4. Step 4: Simplify right side
    339,773.20x = 87,565,465,693.68
  5. Step 5: Solve for x
    x = 87,565,465,693.68/339,773.20
  6. Step 6: Final answer
    x = 257,717.40

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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.