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Finding the Fourth Proportional to 380,606.95, 525,238.00 and 206,177.56

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Solution

The fourth proportional to 380,606.95, 525,238.00 and 206,177.56 is: 284,525.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,606.95 : 525,238.00 = 206,177.56 : x
  2. Step 2: Convert to fraction form
    380,606.95/525,238.00 = 206,177.56/x
  3. Step 3: Cross multiply
    380,606.95x = 525,238.00 × 206,177.56
  4. Step 4: Simplify right side
    380,606.95x = 108,292,292,283.57
  5. Step 5: Solve for x
    x = 108,292,292,283.57/380,606.95
  6. Step 6: Final answer
    x = 284,525.26

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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.