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Finding the Fourth Proportional to 288,568.11, 398,223.16 and 161,243.81

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Solution

The fourth proportional to 288,568.11, 398,223.16 and 161,243.81 is: 222,515.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,568.11 : 398,223.16 = 161,243.81 : x
  2. Step 2: Convert to fraction form
    288,568.11/398,223.16 = 161,243.81/x
  3. Step 3: Cross multiply
    288,568.11x = 398,223.16 × 161,243.81
  4. Step 4: Simplify right side
    288,568.11x = 64,211,017,154.41
  5. Step 5: Solve for x
    x = 64,211,017,154.41/288,568.11
  6. Step 6: Final answer
    x = 222,515.98

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Why These Related Problems?

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