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Finding the Fourth Proportional to 501,759.25, 692,427.49 and 283,963.97

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Solution

The fourth proportional to 501,759.25, 692,427.49 and 283,963.97 is: 391,870.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,759.25 : 692,427.49 = 283,963.97 : x
  2. Step 2: Convert to fraction form
    501,759.25/692,427.49 = 283,963.97/x
  3. Step 3: Cross multiply
    501,759.25x = 692,427.49 × 283,963.97
  4. Step 4: Simplify right side
    501,759.25x = 196,624,456,947.02
  5. Step 5: Solve for x
    x = 196,624,456,947.02/501,759.25
  6. Step 6: Final answer
    x = 391,870.12

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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.