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Finding the Fourth Proportional to 485,410.60, 727,856.70 and 204,610.60

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Solution

The fourth proportional to 485,410.60, 727,856.70 and 204,610.60 is: 306,806.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,410.60 : 727,856.70 = 204,610.60 : x
  2. Step 2: Convert to fraction form
    485,410.60/727,856.70 = 204,610.60/x
  3. Step 3: Cross multiply
    485,410.60x = 727,856.70 × 204,610.60
  4. Step 4: Simplify right side
    485,410.60x = 148,927,196,101.02
  5. Step 5: Solve for x
    x = 148,927,196,101.02/485,410.60
  6. Step 6: Final answer
    x = 306,806.64

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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.