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Finding the Fourth Proportional to 334,718.56, 461,778.06 and 213,828.49

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Solution

The fourth proportional to 334,718.56, 461,778.06 and 213,828.49 is: 294,998.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,718.56 : 461,778.06 = 213,828.49 : x
  2. Step 2: Convert to fraction form
    334,718.56/461,778.06 = 213,828.49/x
  3. Step 3: Cross multiply
    334,718.56x = 461,778.06 × 213,828.49
  4. Step 4: Simplify right side
    334,718.56x = 98,741,305,284.93
  5. Step 5: Solve for x
    x = 98,741,305,284.93/334,718.56
  6. Step 6: Final answer
    x = 294,998.00

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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.