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Finding the Fourth Proportional to 229,086.21, 341,769.21 and 216,685.92

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Solution

The fourth proportional to 229,086.21, 341,769.21 and 216,685.92 is: 323,269.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,086.21 : 341,769.21 = 216,685.92 : x
  2. Step 2: Convert to fraction form
    229,086.21/341,769.21 = 216,685.92/x
  3. Step 3: Cross multiply
    229,086.21x = 341,769.21 × 216,685.92
  4. Step 4: Simplify right side
    229,086.21x = 74,056,575,696.52
  5. Step 5: Solve for x
    x = 74,056,575,696.52/229,086.21
  6. Step 6: Final answer
    x = 323,269.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.