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Finding the Fourth Proportional to 299,086.46, 412,505.92 and 191,666.48

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Solution

The fourth proportional to 299,086.46, 412,505.92 and 191,666.48 is: 264,350.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,086.46 : 412,505.92 = 191,666.48 : x
  2. Step 2: Convert to fraction form
    299,086.46/412,505.92 = 191,666.48/x
  3. Step 3: Cross multiply
    299,086.46x = 412,505.92 × 191,666.48
  4. Step 4: Simplify right side
    299,086.46x = 79,063,558,217.66
  5. Step 5: Solve for x
    x = 79,063,558,217.66/299,086.46
  6. Step 6: Final answer
    x = 264,350.18

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1.5x scale

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.