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Finding the Fourth Proportional to 300,023.45, 414,032.31 and 164,057.51

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Solution

The fourth proportional to 300,023.45, 414,032.31 and 164,057.51 is: 226,399.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,023.45 : 414,032.31 = 164,057.51 : x
  2. Step 2: Convert to fraction form
    300,023.45/414,032.31 = 164,057.51/x
  3. Step 3: Cross multiply
    300,023.45x = 414,032.31 × 164,057.51
  4. Step 4: Simplify right side
    300,023.45x = 67,925,107,767.99
  5. Step 5: Solve for x
    x = 67,925,107,767.99/300,023.45
  6. Step 6: Final answer
    x = 226,399.33

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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.