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Finding the Fourth Proportional to 324,107.80, 486,015.90 and 146,523.40

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Solution

The fourth proportional to 324,107.80, 486,015.90 and 146,523.40 is: 219,719.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,107.80 : 486,015.90 = 146,523.40 : x
  2. Step 2: Convert to fraction form
    324,107.80/486,015.90 = 146,523.40/x
  3. Step 3: Cross multiply
    324,107.80x = 486,015.90 × 146,523.40
  4. Step 4: Simplify right side
    324,107.80x = 71,212,702,122.06
  5. Step 5: Solve for x
    x = 71,212,702,122.06/324,107.80
  6. Step 6: Final answer
    x = 219,719.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.