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Finding the Fourth Proportional to 230,586.73, 343,587.73 and 205,433.50

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Solution

The fourth proportional to 230,586.73, 343,587.73 and 205,433.50 is: 306,107.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,586.73 : 343,587.73 = 205,433.50 : x
  2. Step 2: Convert to fraction form
    230,586.73/343,587.73 = 205,433.50/x
  3. Step 3: Cross multiply
    230,586.73x = 343,587.73 × 205,433.50
  4. Step 4: Simplify right side
    230,586.73x = 70,584,429,930.96
  5. Step 5: Solve for x
    x = 70,584,429,930.96/230,586.73
  6. Step 6: Final answer
    x = 306,107.94

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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.