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Finding the Fourth Proportional to 362,897.32, 500,769.90 and 201,742.56

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Solution

The fourth proportional to 362,897.32, 500,769.90 and 201,742.56 is: 278,388.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,897.32 : 500,769.90 = 201,742.56 : x
  2. Step 2: Convert to fraction form
    362,897.32/500,769.90 = 201,742.56/x
  3. Step 3: Cross multiply
    362,897.32x = 500,769.90 × 201,742.56
  4. Step 4: Simplify right side
    362,897.32x = 101,026,601,596.94
  5. Step 5: Solve for x
    x = 101,026,601,596.94/362,897.32
  6. Step 6: Final answer
    x = 278,388.94

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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.