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Finding the Fourth Proportional to 217,088.40, 325,632.60 and 200,499.60

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Solution

The fourth proportional to 217,088.40, 325,632.60 and 200,499.60 is: 300,749.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,088.40 : 325,632.60 = 200,499.60 : x
  2. Step 2: Convert to fraction form
    217,088.40/325,632.60 = 200,499.60/x
  3. Step 3: Cross multiply
    217,088.40x = 325,632.60 × 200,499.60
  4. Step 4: Simplify right side
    217,088.40x = 65,289,206,046.96
  5. Step 5: Solve for x
    x = 65,289,206,046.96/217,088.40
  6. Step 6: Final answer
    x = 300,749.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.