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Finding the Fourth Proportional to 512,953.37, 707,961.75 and 347,306.21

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Solution

The fourth proportional to 512,953.37, 707,961.75 and 347,306.21 is: 479,340.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,953.37 : 707,961.75 = 347,306.21 : x
  2. Step 2: Convert to fraction form
    512,953.37/707,961.75 = 347,306.21/x
  3. Step 3: Cross multiply
    512,953.37x = 707,961.75 × 347,306.21
  4. Step 4: Simplify right side
    512,953.37x = 245,879,508,677.66
  5. Step 5: Solve for x
    x = 245,879,508,677.66/512,953.37
  6. Step 6: Final answer
    x = 479,340.86

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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.