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Finding the Fourth Proportional to 299,086.52, 412,724.83 and 178,225.11

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Solution

The fourth proportional to 299,086.52, 412,724.83 and 178,225.11 is: 245,941.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,086.52 : 412,724.83 = 178,225.11 : x
  2. Step 2: Convert to fraction form
    299,086.52/412,724.83 = 178,225.11/x
  3. Step 3: Cross multiply
    299,086.52x = 412,724.83 × 178,225.11
  4. Step 4: Simplify right side
    299,086.52x = 73,557,928,226.48
  5. Step 5: Solve for x
    x = 73,557,928,226.48/299,086.52
  6. Step 6: Final answer
    x = 245,941.97

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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.