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Finding the Fourth Proportional to 517,043.23, 713,562.75 and 287,643.73

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Solution

The fourth proportional to 517,043.23, 713,562.75 and 287,643.73 is: 396,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,043.23 : 713,562.75 = 287,643.73 : x
  2. Step 2: Convert to fraction form
    517,043.23/713,562.75 = 287,643.73/x
  3. Step 3: Cross multiply
    517,043.23x = 713,562.75 × 287,643.73
  4. Step 4: Simplify right side
    517,043.23x = 205,251,848,136.49
  5. Step 5: Solve for x
    x = 205,251,848,136.49/517,043.23
  6. Step 6: Final answer
    x = 396,972.32

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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.