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Finding the Fourth Proportional to 230,585.23, 343,585.50 and 205,432.00

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Solution

The fourth proportional to 230,585.23, 343,585.50 and 205,432.00 is: 306,105.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,585.23 : 343,585.50 = 205,432.00 : x
  2. Step 2: Convert to fraction form
    230,585.23/343,585.50 = 205,432.00/x
  3. Step 3: Cross multiply
    230,585.23x = 343,585.50 × 205,432.00
  4. Step 4: Simplify right side
    230,585.23x = 70,583,454,806.67
  5. Step 5: Solve for x
    x = 70,583,454,806.67/230,585.23
  6. Step 6: Final answer
    x = 306,105.71

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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.