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Finding the Fourth Proportional to 414,639.68, 572,206.82 and 230,880.83

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Solution

The fourth proportional to 414,639.68, 572,206.82 and 230,880.83 is: 318,617.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,639.68 : 572,206.82 = 230,880.83 : x
  2. Step 2: Convert to fraction form
    414,639.68/572,206.82 = 230,880.83/x
  3. Step 3: Cross multiply
    414,639.68x = 572,206.82 × 230,880.83
  4. Step 4: Simplify right side
    414,639.68x = 132,111,581,517.82
  5. Step 5: Solve for x
    x = 132,111,581,517.82/414,639.68
  6. Step 6: Final answer
    x = 318,617.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.