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Finding the Fourth Proportional to 351,606.27, 485,206.66 and 206,409.72

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Solution

The fourth proportional to 351,606.27, 485,206.66 and 206,409.72 is: 284,839.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,606.27 : 485,206.66 = 206,409.72 : x
  2. Step 2: Convert to fraction form
    351,606.27/485,206.66 = 206,409.72/x
  3. Step 3: Cross multiply
    351,606.27x = 485,206.66 × 206,409.72
  4. Step 4: Simplify right side
    351,606.27x = 100,151,370,832.74
  5. Step 5: Solve for x
    x = 100,151,370,832.74/351,606.27
  6. Step 6: Final answer
    x = 284,839.55

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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.