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Finding the Fourth Proportional to 538,494.64, 743,249.23 and 334,699.47

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Solution

The fourth proportional to 538,494.64, 743,249.23 and 334,699.47 is: 461,963.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,494.64 : 743,249.23 = 334,699.47 : x
  2. Step 2: Convert to fraction form
    538,494.64/743,249.23 = 334,699.47/x
  3. Step 3: Cross multiply
    538,494.64x = 743,249.23 × 334,699.47
  4. Step 4: Simplify right side
    538,494.64x = 248,765,122,522.16
  5. Step 5: Solve for x
    x = 248,765,122,522.16/538,494.64
  6. Step 6: Final answer
    x = 461,963.97

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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.