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Finding the Fourth Proportional to 293,708.25, 440,113.77 and 218,464.47

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Solution

The fourth proportional to 293,708.25, 440,113.77 and 218,464.47 is: 327,363.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,708.25 : 440,113.77 = 218,464.47 : x
  2. Step 2: Convert to fraction form
    293,708.25/440,113.77 = 218,464.47/x
  3. Step 3: Cross multiply
    293,708.25x = 440,113.77 × 218,464.47
  4. Step 4: Simplify right side
    293,708.25x = 96,149,221,502.75
  5. Step 5: Solve for x
    x = 96,149,221,502.75/293,708.25
  6. Step 6: Final answer
    x = 327,363.03

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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.