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Finding the Fourth Proportional to 362,964.58, 500,902.68 and 201,826.42

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Solution

The fourth proportional to 362,964.58, 500,902.68 and 201,826.42 is: 278,526.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,964.58 : 500,902.68 = 201,826.42 : x
  2. Step 2: Convert to fraction form
    362,964.58/500,902.68 = 201,826.42/x
  3. Step 3: Cross multiply
    362,964.58x = 500,902.68 × 201,826.42
  4. Step 4: Simplify right side
    362,964.58x = 101,095,394,177.40
  5. Step 5: Solve for x
    x = 101,095,394,177.40/362,964.58
  6. Step 6: Final answer
    x = 278,526.89

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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.