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Finding the Fourth Proportional to 367,181.28, 506,708.16 and 206,036.16

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Solution

The fourth proportional to 367,181.28, 506,708.16 and 206,036.16 is: 284,328.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,181.28 : 506,708.16 = 206,036.16 : x
  2. Step 2: Convert to fraction form
    367,181.28/506,708.16 = 206,036.16/x
  3. Step 3: Cross multiply
    367,181.28x = 506,708.16 × 206,036.16
  4. Step 4: Simplify right side
    367,181.28x = 104,400,203,527.07
  5. Step 5: Solve for x
    x = 104,400,203,527.07/367,181.28
  6. Step 6: Final answer
    x = 284,328.77

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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.