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Finding the Fourth Proportional to 512,081.00, 706,910.90 and 297,179.53

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Solution

The fourth proportional to 512,081.00, 706,910.90 and 297,179.53 is: 410,246.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,081.00 : 706,910.90 = 297,179.53 : x
  2. Step 2: Convert to fraction form
    512,081.00/706,910.90 = 297,179.53/x
  3. Step 3: Cross multiply
    512,081.00x = 706,910.90 × 297,179.53
  4. Step 4: Simplify right side
    512,081.00x = 210,079,445,760.70
  5. Step 5: Solve for x
    x = 210,079,445,760.70/512,081.00
  6. Step 6: Final answer
    x = 410,246.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.