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Finding the Fourth Proportional to 485,065.60, 727,339.20 and 204,265.60

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Solution

The fourth proportional to 485,065.60, 727,339.20 and 204,265.60 is: 306,289.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,065.60 : 727,339.20 = 204,265.60 : x
  2. Step 2: Convert to fraction form
    485,065.60/727,339.20 = 204,265.60/x
  3. Step 3: Cross multiply
    485,065.60x = 727,339.20 × 204,265.60
  4. Step 4: Simplify right side
    485,065.60x = 148,570,378,091.52
  5. Step 5: Solve for x
    x = 148,570,378,091.52/485,065.60
  6. Step 6: Final answer
    x = 306,289.25

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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.