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Finding the Fourth Proportional to 535,344.30, 738,796.38 and 293,635.70

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Solution

The fourth proportional to 535,344.30, 738,796.38 and 293,635.70 is: 405,228.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,344.30 : 738,796.38 = 293,635.70 : x
  2. Step 2: Convert to fraction form
    535,344.30/738,796.38 = 293,635.70/x
  3. Step 3: Cross multiply
    535,344.30x = 738,796.38 × 293,635.70
  4. Step 4: Simplify right side
    535,344.30x = 216,936,992,198.77
  5. Step 5: Solve for x
    x = 216,936,992,198.77/535,344.30
  6. Step 6: Final answer
    x = 405,228.92

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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.