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Finding the Fourth Proportional to 299,783.27, 413,724.50 and 170,727.20

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Solution

The fourth proportional to 299,783.27, 413,724.50 and 170,727.20 is: 235,616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,783.27 : 413,724.50 = 170,727.20 : x
  2. Step 2: Convert to fraction form
    299,783.27/413,724.50 = 170,727.20/x
  3. Step 3: Cross multiply
    299,783.27x = 413,724.50 × 170,727.20
  4. Step 4: Simplify right side
    299,783.27x = 70,634,022,534.14
  5. Step 5: Solve for x
    x = 70,634,022,534.14/299,783.27
  6. Step 6: Final answer
    x = 235,616.96

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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.