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Finding the Fourth Proportional to 362,713.44, 500,534.58 and 201,564.36

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Solution

The fourth proportional to 362,713.44, 500,534.58 and 201,564.36 is: 278,153.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,713.44 : 500,534.58 = 201,564.36 : x
  2. Step 2: Convert to fraction form
    362,713.44/500,534.58 = 201,564.36/x
  3. Step 3: Cross multiply
    362,713.44x = 500,534.58 × 201,564.36
  4. Step 4: Simplify right side
    362,713.44x = 100,889,932,275.57
  5. Step 5: Solve for x
    x = 100,889,932,275.57/362,713.44
  6. Step 6: Final answer
    x = 278,153.28

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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.