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Finding the Fourth Proportional to 300,490.16, 414,660.66 and 164,498.05

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Solution

The fourth proportional to 300,490.16, 414,660.66 and 164,498.05 is: 226,998.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,490.16 : 414,660.66 = 164,498.05 : x
  2. Step 2: Convert to fraction form
    300,490.16/414,660.66 = 164,498.05/x
  3. Step 3: Cross multiply
    300,490.16x = 414,660.66 × 164,498.05
  4. Step 4: Simplify right side
    300,490.16x = 68,210,867,908.41
  5. Step 5: Solve for x
    x = 68,210,867,908.41/300,490.16
  6. Step 6: Final answer
    x = 226,998.67

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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.