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Finding the Fourth Proportional to 257,033.40, 354,457.26 and 200,424.12

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Solution

The fourth proportional to 257,033.40, 354,457.26 and 200,424.12 is: 276,391.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,033.40 : 354,457.26 = 200,424.12 : x
  2. Step 2: Convert to fraction form
    257,033.40/354,457.26 = 200,424.12/x
  3. Step 3: Cross multiply
    257,033.40x = 354,457.26 × 200,424.12
  4. Step 4: Simplify right side
    257,033.40x = 71,041,784,413.11
  5. Step 5: Solve for x
    x = 71,041,784,413.11/257,033.40
  6. Step 6: Final answer
    x = 276,391.26

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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.