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Finding the Fourth Proportional to 298,640.14, 412,123.41 and 164,504.14

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Solution

The fourth proportional to 298,640.14, 412,123.41 and 164,504.14 is: 227,015.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,640.14 : 412,123.41 = 164,504.14 : x
  2. Step 2: Convert to fraction form
    298,640.14/412,123.41 = 164,504.14/x
  3. Step 3: Cross multiply
    298,640.14x = 412,123.41 × 164,504.14
  4. Step 4: Simplify right side
    298,640.14x = 67,796,007,135.92
  5. Step 5: Solve for x
    x = 67,796,007,135.92/298,640.14
  6. Step 6: Final answer
    x = 227,015.72

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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.