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Finding the Fourth Proportional to 230,581.84, 343,580.48 and 205,428.61

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Solution

The fourth proportional to 230,581.84, 343,580.48 and 205,428.61 is: 306,100.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,581.84 : 343,580.48 = 205,428.61 : x
  2. Step 2: Convert to fraction form
    230,581.84/343,580.48 = 205,428.61/x
  3. Step 3: Cross multiply
    230,581.84x = 343,580.48 × 205,428.61
  4. Step 4: Simplify right side
    230,581.84x = 70,581,259,825.12
  5. Step 5: Solve for x
    x = 70,581,259,825.12/230,581.84
  6. Step 6: Final answer
    x = 306,100.69

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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.