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Finding the Fourth Proportional to 362,448, 500,178.24 and 203,472

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Solution

The fourth proportional to 362,448, 500,178.24 and 203,472 is: 280,791.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,448 : 500,178.24 = 203,472 : x
  2. Step 2: Convert to fraction form
    362,448/500,178.24 = 203,472/x
  3. Step 3: Cross multiply
    362,448x = 500,178.24 × 203,472
  4. Step 4: Simplify right side
    362,448x = 101,772,266,849.28
  5. Step 5: Solve for x
    x = 101,772,266,849.28/362,448
  6. Step 6: Final answer
    x = 280,791.36

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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.