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Finding the Fourth Proportional to 300,417.16, 414,576.20 and 164,451.19

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Solution

The fourth proportional to 300,417.16, 414,576.20 and 164,451.19 is: 226,942.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,417.16 : 414,576.20 = 164,451.19 : x
  2. Step 2: Convert to fraction form
    300,417.16/414,576.20 = 164,451.19/x
  3. Step 3: Cross multiply
    300,417.16x = 414,576.20 × 164,451.19
  4. Step 4: Simplify right side
    300,417.16x = 68,177,549,435.68
  5. Step 5: Solve for x
    x = 68,177,549,435.68/300,417.16
  6. Step 6: Final answer
    x = 226,942.93

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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.