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Finding the Fourth Proportional to 512,795.34, 769,193.55 and 133,715.75

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Solution

The fourth proportional to 512,795.34, 769,193.55 and 133,715.75 is: 200,573.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,795.34 : 769,193.55 = 133,715.75 : x
  2. Step 2: Convert to fraction form
    512,795.34/769,193.55 = 133,715.75/x
  3. Step 3: Cross multiply
    512,795.34x = 769,193.55 × 133,715.75
  4. Step 4: Simplify right side
    512,795.34x = 102,853,288,587.45
  5. Step 5: Solve for x
    x = 102,853,288,587.45/512,795.34
  6. Step 6: Final answer
    x = 200,573.76

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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.