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Finding the Fourth Proportional to 293,601.85, 440,419.52 and 83,223.25

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Solution

The fourth proportional to 293,601.85, 440,419.52 and 83,223.25 is: 124,839.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,601.85 : 440,419.52 = 83,223.25 : x
  2. Step 2: Convert to fraction form
    293,601.85/440,419.52 = 83,223.25/x
  3. Step 3: Cross multiply
    293,601.85x = 440,419.52 × 83,223.25
  4. Step 4: Simplify right side
    293,601.85x = 36,653,143,817.84
  5. Step 5: Solve for x
    x = 36,653,143,817.84/293,601.85
  6. Step 6: Final answer
    x = 124,839.62

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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.