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Finding the Fourth Proportional to 370,710.88, 511,584.24 and 200,947.84

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Solution

The fourth proportional to 370,710.88, 511,584.24 and 200,947.84 is: 277,309.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,710.88 : 511,584.24 = 200,947.84 : x
  2. Step 2: Convert to fraction form
    370,710.88/511,584.24 = 200,947.84/x
  3. Step 3: Cross multiply
    370,710.88x = 511,584.24 × 200,947.84
  4. Step 4: Simplify right side
    370,710.88x = 102,801,748,006.04
  5. Step 5: Solve for x
    x = 102,801,748,006.04/370,710.88
  6. Step 6: Final answer
    x = 277,309.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.