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Finding the Fourth Proportional to 433,460.43, 598,198.64 and 242,462.43

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Solution

The fourth proportional to 433,460.43, 598,198.64 and 242,462.43 is: 334,611.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,460.43 : 598,198.64 = 242,462.43 : x
  2. Step 2: Convert to fraction form
    433,460.43/598,198.64 = 242,462.43/x
  3. Step 3: Cross multiply
    433,460.43x = 598,198.64 × 242,462.43
  4. Step 4: Simplify right side
    433,460.43x = 145,040,694,664.78
  5. Step 5: Solve for x
    x = 145,040,694,664.78/433,460.43
  6. Step 6: Final answer
    x = 334,611.15

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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.