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Finding the Fourth Proportional to 299,092.72, 412,536.36 and 191,693.20

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Solution

The fourth proportional to 299,092.72, 412,536.36 and 191,693.20 is: 264,401.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,092.72 : 412,536.36 = 191,693.20 : x
  2. Step 2: Convert to fraction form
    299,092.72/412,536.36 = 191,693.20/x
  3. Step 3: Cross multiply
    299,092.72x = 412,536.36 × 191,693.20
  4. Step 4: Simplify right side
    299,092.72x = 79,080,414,964.75
  5. Step 5: Solve for x
    x = 79,080,414,964.75/299,092.72
  6. Step 6: Final answer
    x = 264,401.00

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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.