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Finding the Fourth Proportional to 298,991.52, 412,606.80 and 164,855.52

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Solution

The fourth proportional to 298,991.52, 412,606.80 and 164,855.52 is: 227,499.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,991.52 : 412,606.80 = 164,855.52 : x
  2. Step 2: Convert to fraction form
    298,991.52/412,606.80 = 164,855.52/x
  3. Step 3: Cross multiply
    298,991.52x = 412,606.80 × 164,855.52
  4. Step 4: Simplify right side
    298,991.52x = 68,020,508,569.54
  5. Step 5: Solve for x
    x = 68,020,508,569.54/298,991.52
  6. Step 6: Final answer
    x = 227,499.79

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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.