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Finding the Fourth Proportional to 300,215.22, 414,300.06 and 164,246.19

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Solution

The fourth proportional to 300,215.22, 414,300.06 and 164,246.19 is: 226,661.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,215.22 : 414,300.06 = 164,246.19 : x
  2. Step 2: Convert to fraction form
    300,215.22/414,300.06 = 164,246.19/x
  3. Step 3: Cross multiply
    300,215.22x = 414,300.06 × 164,246.19
  4. Step 4: Simplify right side
    300,215.22x = 68,047,206,371.77
  5. Step 5: Solve for x
    x = 68,047,206,371.77/300,215.22
  6. Step 6: Final answer
    x = 226,661.41

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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.