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Finding the Fourth Proportional to 520,051.20, 780,149.70 and 204,434.70

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Solution

The fourth proportional to 520,051.20, 780,149.70 and 204,434.70 is: 306,680.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,051.20 : 780,149.70 = 204,434.70 : x
  2. Step 2: Convert to fraction form
    520,051.20/780,149.70 = 204,434.70/x
  3. Step 3: Cross multiply
    520,051.20x = 780,149.70 × 204,434.70
  4. Step 4: Simplify right side
    520,051.20x = 159,489,669,874.59
  5. Step 5: Solve for x
    x = 159,489,669,874.59/520,051.20
  6. Step 6: Final answer
    x = 306,680.71

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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.