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Finding the Fourth Proportional to 232,959.63, 321,039.54 and 200,684.10

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Solution

The fourth proportional to 232,959.63, 321,039.54 and 200,684.10 is: 276,560.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,959.63 : 321,039.54 = 200,684.10 : x
  2. Step 2: Convert to fraction form
    232,959.63/321,039.54 = 200,684.10/x
  3. Step 3: Cross multiply
    232,959.63x = 321,039.54 × 200,684.10
  4. Step 4: Simplify right side
    232,959.63x = 64,427,531,149.31
  5. Step 5: Solve for x
    x = 64,427,531,149.31/232,959.63
  6. Step 6: Final answer
    x = 276,560.93

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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.