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Finding the Fourth Proportional to 329,943.64, 494,215.02 and 223,393

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Solution

The fourth proportional to 329,943.64, 494,215.02 and 223,393 is: 334,615.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,943.64 : 494,215.02 = 223,393 : x
  2. Step 2: Convert to fraction form
    329,943.64/494,215.02 = 223,393/x
  3. Step 3: Cross multiply
    329,943.64x = 494,215.02 × 223,393
  4. Step 4: Simplify right side
    329,943.64x = 110,404,175,962.86
  5. Step 5: Solve for x
    x = 110,404,175,962.86/329,943.64
  6. Step 6: Final answer
    x = 334,615.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.