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Finding the Fourth Proportional to 298,644.80, 412,126.24 and 164,505.92

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Solution

The fourth proportional to 298,644.80, 412,126.24 and 164,505.92 is: 227,016.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,644.80 : 412,126.24 = 164,505.92 : x
  2. Step 2: Convert to fraction form
    298,644.80/412,126.24 = 164,505.92/x
  3. Step 3: Cross multiply
    298,644.80x = 412,126.24 × 164,505.92
  4. Step 4: Simplify right side
    298,644.80x = 67,797,206,267.34
  5. Step 5: Solve for x
    x = 67,797,206,267.34/298,644.80
  6. Step 6: Final answer
    x = 227,016.20

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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.