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Finding the Fourth Proportional to 298,698.88, 412,204.56 and 164,562.88

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Solution

The fourth proportional to 298,698.88, 412,204.56 and 164,562.88 is: 227,096.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,698.88 : 412,204.56 = 164,562.88 : x
  2. Step 2: Convert to fraction form
    298,698.88/412,204.56 = 164,562.88/x
  3. Step 3: Cross multiply
    298,698.88x = 412,204.56 × 164,562.88
  4. Step 4: Simplify right side
    298,698.88x = 67,833,569,542.73
  5. Step 5: Solve for x
    x = 67,833,569,542.73/298,698.88
  6. Step 6: Final answer
    x = 227,096.83

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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.