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Finding the Fourth Proportional to 230,585.73, 343,586.24 and 205,432.50

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Solution

The fourth proportional to 230,585.73, 343,586.24 and 205,432.50 is: 306,106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,585.73 : 343,586.24 = 205,432.50 : x
  2. Step 2: Convert to fraction form
    230,585.73/343,586.24 = 205,432.50/x
  3. Step 3: Cross multiply
    230,585.73x = 343,586.24 × 205,432.50
  4. Step 4: Simplify right side
    230,585.73x = 70,583,780,248.80
  5. Step 5: Solve for x
    x = 70,583,780,248.80/230,585.73
  6. Step 6: Final answer
    x = 306,106.45

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