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Finding the Fourth Proportional to 353,018, 487,164.84 and 194,042

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Solution

The fourth proportional to 353,018, 487,164.84 and 194,042 is: 267,777.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,018 : 487,164.84 = 194,042 : x
  2. Step 2: Convert to fraction form
    353,018/487,164.84 = 194,042/x
  3. Step 3: Cross multiply
    353,018x = 487,164.84 × 194,042
  4. Step 4: Simplify right side
    353,018x = 94,530,439,883.28
  5. Step 5: Solve for x
    x = 94,530,439,883.28/353,018
  6. Step 6: Final answer
    x = 267,777.96

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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.