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Finding the Fourth Proportional to 300,717.61, 414,990.24 and 164,756.38

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Solution

The fourth proportional to 300,717.61, 414,990.24 and 164,756.38 is: 227,363.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,717.61 : 414,990.24 = 164,756.38 : x
  2. Step 2: Convert to fraction form
    300,717.61/414,990.24 = 164,756.38/x
  3. Step 3: Cross multiply
    300,717.61x = 414,990.24 × 164,756.38
  4. Step 4: Simplify right side
    300,717.61x = 68,372,289,677.73
  5. Step 5: Solve for x
    x = 68,372,289,677.73/300,717.61
  6. Step 6: Final answer
    x = 227,363.77

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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.