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Finding the Fourth Proportional to 362,696.36, 500,489.12 and 201,541.20

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Solution

The fourth proportional to 362,696.36, 500,489.12 and 201,541.20 is: 278,109.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,696.36 : 500,489.12 = 201,541.20 : x
  2. Step 2: Convert to fraction form
    362,696.36/500,489.12 = 201,541.20/x
  3. Step 3: Cross multiply
    362,696.36x = 500,489.12 × 201,541.20
  4. Step 4: Simplify right side
    362,696.36x = 100,869,177,831.74
  5. Step 5: Solve for x
    x = 100,869,177,831.74/362,696.36
  6. Step 6: Final answer
    x = 278,109.15

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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.