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Finding the Fourth Proportional to 370,593.36, 511,418.81 and 200,827.49

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Solution

The fourth proportional to 370,593.36, 511,418.81 and 200,827.49 is: 277,141.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,593.36 : 511,418.81 = 200,827.49 : x
  2. Step 2: Convert to fraction form
    370,593.36/511,418.81 = 200,827.49/x
  3. Step 3: Cross multiply
    370,593.36x = 511,418.81 × 200,827.49
  4. Step 4: Simplify right side
    370,593.36x = 102,706,953,896.06
  5. Step 5: Solve for x
    x = 102,706,953,896.06/370,593.36
  6. Step 6: Final answer
    x = 277,141.92

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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.