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Finding the Fourth Proportional to 334,679.29, 461,686.29 and 213,693.37

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Solution

The fourth proportional to 334,679.29, 461,686.29 and 213,693.37 is: 294,787.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,679.29 : 461,686.29 = 213,693.37 : x
  2. Step 2: Convert to fraction form
    334,679.29/461,686.29 = 213,693.37/x
  3. Step 3: Cross multiply
    334,679.29x = 461,686.29 × 213,693.37
  4. Step 4: Simplify right side
    334,679.29x = 98,659,299,192.90
  5. Step 5: Solve for x
    x = 98,659,299,192.90/334,679.29
  6. Step 6: Final answer
    x = 294,787.58

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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.