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Finding the Fourth Proportional to 532,296, 734,568.96 and 293,832

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Solution

The fourth proportional to 532,296, 734,568.96 and 293,832 is: 405,488.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,296 : 734,568.96 = 293,832 : x
  2. Step 2: Convert to fraction form
    532,296/734,568.96 = 293,832/x
  3. Step 3: Cross multiply
    532,296x = 734,568.96 × 293,832
  4. Step 4: Simplify right side
    532,296x = 215,839,866,654.72
  5. Step 5: Solve for x
    x = 215,839,866,654.72/532,296
  6. Step 6: Final answer
    x = 405,488.42

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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.