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Finding the Fourth Proportional to 512,661.20, 769,049.40 and 157,672.40

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Solution

The fourth proportional to 512,661.20, 769,049.40 and 157,672.40 is: 236,526.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,661.20 : 769,049.40 = 157,672.40 : x
  2. Step 2: Convert to fraction form
    512,661.20/769,049.40 = 157,672.40/x
  3. Step 3: Cross multiply
    512,661.20x = 769,049.40 × 157,672.40
  4. Step 4: Simplify right side
    512,661.20x = 121,257,864,616.56
  5. Step 5: Solve for x
    x = 121,257,864,616.56/512,661.20
  6. Step 6: Final answer
    x = 236,526.32

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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.