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Finding the Fourth Proportional to 512,129.59, 768,277.82 and 192,306.22

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Solution

The fourth proportional to 512,129.59, 768,277.82 and 192,306.22 is: 288,490.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,129.59 : 768,277.82 = 192,306.22 : x
  2. Step 2: Convert to fraction form
    512,129.59/768,277.82 = 192,306.22/x
  3. Step 3: Cross multiply
    512,129.59x = 768,277.82 × 192,306.22
  4. Step 4: Simplify right side
    512,129.59x = 147,744,602,034.11
  5. Step 5: Solve for x
    x = 147,744,602,034.11/512,129.59
  6. Step 6: Final answer
    x = 288,490.66

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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.