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Finding the Fourth Proportional to 485,078.44, 727,617.70 and 185,650.86

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Solution

The fourth proportional to 485,078.44, 727,617.70 and 185,650.86 is: 278,476.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,078.44 : 727,617.70 = 185,650.86 : x
  2. Step 2: Convert to fraction form
    485,078.44/727,617.70 = 185,650.86/x
  3. Step 3: Cross multiply
    485,078.44x = 727,617.70 × 185,650.86
  4. Step 4: Simplify right side
    485,078.44x = 135,082,851,756.22
  5. Step 5: Solve for x
    x = 135,082,851,756.22/485,078.44
  6. Step 6: Final answer
    x = 278,476.31

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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.