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Finding the Fourth Proportional to 293,758.52, 440,663.41 and 83,396.46

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Solution

The fourth proportional to 293,758.52, 440,663.41 and 83,396.46 is: 125,101.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,758.52 : 440,663.41 = 83,396.46 : x
  2. Step 2: Convert to fraction form
    293,758.52/440,663.41 = 83,396.46/x
  3. Step 3: Cross multiply
    293,758.52x = 440,663.41 × 83,396.46
  4. Step 4: Simplify right side
    293,758.52x = 36,749,769,197.45
  5. Step 5: Solve for x
    x = 36,749,769,197.45/293,758.52
  6. Step 6: Final answer
    x = 125,101.97

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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.