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Finding the Fourth Proportional to 243,842.74, 335,755.30 and 213,458.02

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Solution

The fourth proportional to 243,842.74, 335,755.30 and 213,458.02 is: 293,917.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,842.74 : 335,755.30 = 213,458.02 : x
  2. Step 2: Convert to fraction form
    243,842.74/335,755.30 = 213,458.02/x
  3. Step 3: Cross multiply
    243,842.74x = 335,755.30 × 213,458.02
  4. Step 4: Simplify right side
    243,842.74x = 71,669,661,542.51
  5. Step 5: Solve for x
    x = 71,669,661,542.51/243,842.74
  6. Step 6: Final answer
    x = 293,917.55

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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.