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Finding the Fourth Proportional to 380,608.96, 525,240.77 and 206,179.57

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Solution

The fourth proportional to 380,608.96, 525,240.77 and 206,179.57 is: 284,528.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,608.96 : 525,240.77 = 206,179.57 : x
  2. Step 2: Convert to fraction form
    380,608.96/525,240.77 = 206,179.57/x
  3. Step 3: Cross multiply
    380,608.96x = 525,240.77 × 206,179.57
  4. Step 4: Simplify right side
    380,608.96x = 108,293,912,447.97
  5. Step 5: Solve for x
    x = 108,293,912,447.97/380,608.96
  6. Step 6: Final answer
    x = 284,528.02

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1.5x scale

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.