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Finding the Fourth Proportional to 461,077.34, 636,388.26 and 299,651.90

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Solution

The fourth proportional to 461,077.34, 636,388.26 and 299,651.90 is: 413,585.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,077.34 : 636,388.26 = 299,651.90 : x
  2. Step 2: Convert to fraction form
    461,077.34/636,388.26 = 299,651.90/x
  3. Step 3: Cross multiply
    461,077.34x = 636,388.26 × 299,651.90
  4. Step 4: Simplify right side
    461,077.34x = 190,694,951,246.69
  5. Step 5: Solve for x
    x = 190,694,951,246.69/461,077.34
  6. Step 6: Final answer
    x = 413,585.61

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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.