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Finding the Fourth Proportional to 334,768.78, 461,809.38 and 213,782.59

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Solution

The fourth proportional to 334,768.78, 461,809.38 and 213,782.59 is: 294,910.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,768.78 : 461,809.38 = 213,782.59 : x
  2. Step 2: Convert to fraction form
    334,768.78/461,809.38 = 213,782.59/x
  3. Step 3: Cross multiply
    334,768.78x = 461,809.38 × 213,782.59
  4. Step 4: Simplify right side
    334,768.78x = 98,726,806,721.64
  5. Step 5: Solve for x
    x = 98,726,806,721.64/334,768.78
  6. Step 6: Final answer
    x = 294,910.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.