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Finding the Fourth Proportional to 293,879.34, 440,819.01 and 83,489.94

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Solution

The fourth proportional to 293,879.34, 440,819.01 and 83,489.94 is: 125,234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,879.34 : 440,819.01 = 83,489.94 : x
  2. Step 2: Convert to fraction form
    293,879.34/440,819.01 = 83,489.94/x
  3. Step 3: Cross multiply
    293,879.34x = 440,819.01 × 83,489.94
  4. Step 4: Simplify right side
    293,879.34x = 36,803,952,695.76
  5. Step 5: Solve for x
    x = 36,803,952,695.76/293,879.34
  6. Step 6: Final answer
    x = 125,234.91

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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.