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Finding the Fourth Proportional to 635,043.84, 952,575.48 and 161,738.16

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Solution

The fourth proportional to 635,043.84, 952,575.48 and 161,738.16 is: 242,609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,043.84 : 952,575.48 = 161,738.16 : x
  2. Step 2: Convert to fraction form
    635,043.84/952,575.48 = 161,738.16/x
  3. Step 3: Cross multiply
    635,043.84x = 952,575.48 × 161,738.16
  4. Step 4: Simplify right side
    635,043.84x = 154,067,805,396.32
  5. Step 5: Solve for x
    x = 154,067,805,396.32/635,043.84
  6. Step 6: Final answer
    x = 242,609.72

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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.