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Finding the Fourth Proportional to 312,610.37, 431,245.01 and 205,165.49

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Solution

The fourth proportional to 312,610.37, 431,245.01 and 205,165.49 is: 283,025.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,610.37 : 431,245.01 = 205,165.49 : x
  2. Step 2: Convert to fraction form
    312,610.37/431,245.01 = 205,165.49/x
  3. Step 3: Cross multiply
    312,610.37x = 431,245.01 × 205,165.49
  4. Step 4: Simplify right side
    312,610.37x = 88,476,592,143.39
  5. Step 5: Solve for x
    x = 88,476,592,143.39/312,610.37
  6. Step 6: Final answer
    x = 283,025.14

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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.