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Finding the Fourth Proportional to 301,076.10, 451,614.15 and 123,524.10

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Solution

The fourth proportional to 301,076.10, 451,614.15 and 123,524.10 is: 185,286.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,076.10 : 451,614.15 = 123,524.10 : x
  2. Step 2: Convert to fraction form
    301,076.10/451,614.15 = 123,524.10/x
  3. Step 3: Cross multiply
    301,076.10x = 451,614.15 × 123,524.10
  4. Step 4: Simplify right side
    301,076.10x = 55,785,231,426.02
  5. Step 5: Solve for x
    x = 55,785,231,426.02/301,076.10
  6. Step 6: Final answer
    x = 185,286.15

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1.5x scale

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.