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Finding the Fourth Proportional to 288,857.10, 398,723.01 and 198,512.13

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Solution

The fourth proportional to 288,857.10, 398,723.01 and 198,512.13 is: 274,015.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,857.10 : 398,723.01 = 198,512.13 : x
  2. Step 2: Convert to fraction form
    288,857.10/398,723.01 = 198,512.13/x
  3. Step 3: Cross multiply
    288,857.10x = 398,723.01 × 198,512.13
  4. Step 4: Simplify right side
    288,857.10x = 79,151,353,995.11
  5. Step 5: Solve for x
    x = 79,151,353,995.11/288,857.10
  6. Step 6: Final answer
    x = 274,015.61

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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.