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Finding the Fourth Proportional to 367,263.28, 506,874.18 and 206,128

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Solution

The fourth proportional to 367,263.28, 506,874.18 and 206,128 is: 284,485.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,263.28 : 506,874.18 = 206,128 : x
  2. Step 2: Convert to fraction form
    367,263.28/506,874.18 = 206,128/x
  3. Step 3: Cross multiply
    367,263.28x = 506,874.18 × 206,128
  4. Step 4: Simplify right side
    367,263.28x = 104,480,960,975.04
  5. Step 5: Solve for x
    x = 104,480,960,975.04/367,263.28
  6. Step 6: Final answer
    x = 284,485.18

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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.