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Finding the Fourth Proportional to 485,402.80, 727,758.60 and 185,767.60

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Solution

The fourth proportional to 485,402.80, 727,758.60 and 185,767.60 is: 278,519.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,402.80 : 727,758.60 = 185,767.60 : x
  2. Step 2: Convert to fraction form
    485,402.80/727,758.60 = 185,767.60/x
  3. Step 3: Cross multiply
    485,402.80x = 727,758.60 × 185,767.60
  4. Step 4: Simplify right side
    485,402.80x = 135,193,968,501.36
  5. Step 5: Solve for x
    x = 135,193,968,501.36/485,402.80
  6. Step 6: Final answer
    x = 278,519.14

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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.