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Finding the Fourth Proportional to 517,399.84, 713,993.70 and 287,949.52

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Solution

The fourth proportional to 517,399.84, 713,993.70 and 287,949.52 is: 397,360.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,399.84 : 713,993.70 = 287,949.52 : x
  2. Step 2: Convert to fraction form
    517,399.84/713,993.70 = 287,949.52/x
  3. Step 3: Cross multiply
    517,399.84x = 713,993.70 × 287,949.52
  4. Step 4: Simplify right side
    517,399.84x = 205,594,143,198.02
  5. Step 5: Solve for x
    x = 205,594,143,198.02/517,399.84
  6. Step 6: Final answer
    x = 397,360.28

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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.