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Finding the Fourth Proportional to 463,175.54, 694,962.02 and 179,065.63

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Solution

The fourth proportional to 463,175.54, 694,962.02 and 179,065.63 is: 268,675.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,175.54 : 694,962.02 = 179,065.63 : x
  2. Step 2: Convert to fraction form
    463,175.54/694,962.02 = 179,065.63/x
  3. Step 3: Cross multiply
    463,175.54x = 694,962.02 × 179,065.63
  4. Step 4: Simplify right side
    463,175.54x = 124,443,809,304.64
  5. Step 5: Solve for x
    x = 124,443,809,304.64/463,175.54
  6. Step 6: Final answer
    x = 268,675.26

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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.