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Finding the Fourth Proportional to 335,057.43, 462,486.92 and 214,523.31

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Solution

The fourth proportional to 335,057.43, 462,486.92 and 214,523.31 is: 296,111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,057.43 : 462,486.92 = 214,523.31 : x
  2. Step 2: Convert to fraction form
    335,057.43/462,486.92 = 214,523.31/x
  3. Step 3: Cross multiply
    335,057.43x = 462,486.92 × 214,523.31
  4. Step 4: Simplify right side
    335,057.43x = 99,214,223,837.49
  5. Step 5: Solve for x
    x = 99,214,223,837.49/335,057.43
  6. Step 6: Final answer
    x = 296,111.10

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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.