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Finding the Fourth Proportional to 312,077.80, 430,791.78 and 199,066.60

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Solution

The fourth proportional to 312,077.80, 430,791.78 and 199,066.60 is: 274,791.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,077.80 : 430,791.78 = 199,066.60 : x
  2. Step 2: Convert to fraction form
    312,077.80/430,791.78 = 199,066.60/x
  3. Step 3: Cross multiply
    312,077.80x = 430,791.78 × 199,066.60
  4. Step 4: Simplify right side
    312,077.80x = 85,756,254,952.55
  5. Step 5: Solve for x
    x = 85,756,254,952.55/312,077.80
  6. Step 6: Final answer
    x = 274,791.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.