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Finding the Fourth Proportional to 298,555.96, 412,005.42 and 164,419

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Solution

The fourth proportional to 298,555.96, 412,005.42 and 164,419 is: 226,897.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,555.96 : 412,005.42 = 164,419 : x
  2. Step 2: Convert to fraction form
    298,555.96/412,005.42 = 164,419/x
  3. Step 3: Cross multiply
    298,555.96x = 412,005.42 × 164,419
  4. Step 4: Simplify right side
    298,555.96x = 67,741,519,150.98
  5. Step 5: Solve for x
    x = 67,741,519,150.98/298,555.96
  6. Step 6: Final answer
    x = 226,897.23

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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.