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Finding the Fourth Proportional to 535,694.56, 739,248.16 and 293,976.16

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Solution

The fourth proportional to 535,694.56, 739,248.16 and 293,976.16 is: 405,681.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,694.56 : 739,248.16 = 293,976.16 : x
  2. Step 2: Convert to fraction form
    535,694.56/739,248.16 = 293,976.16/x
  3. Step 3: Cross multiply
    535,694.56x = 739,248.16 × 293,976.16
  4. Step 4: Simplify right side
    535,694.56x = 217,321,335,363.87
  5. Step 5: Solve for x
    x = 217,321,335,363.87/535,694.56
  6. Step 6: Final answer
    x = 405,681.43

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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.