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Finding the Fourth Proportional to 298,592.28, 412,057.32 and 164,456.28

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Solution

The fourth proportional to 298,592.28, 412,057.32 and 164,456.28 is: 226,949.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,592.28 : 412,057.32 = 164,456.28 : x
  2. Step 2: Convert to fraction form
    298,592.28/412,057.32 = 164,456.28/x
  3. Step 3: Cross multiply
    298,592.28x = 412,057.32 × 164,456.28
  4. Step 4: Simplify right side
    298,592.28x = 67,765,413,993.97
  5. Step 5: Solve for x
    x = 67,765,413,993.97/298,592.28
  6. Step 6: Final answer
    x = 226,949.65

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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.