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Finding the Fourth Proportional to 324,622.50, 486,780.48 and 189,725.25

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Solution

The fourth proportional to 324,622.50, 486,780.48 and 189,725.25 is: 284,498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,622.50 : 486,780.48 = 189,725.25 : x
  2. Step 2: Convert to fraction form
    324,622.50/486,780.48 = 189,725.25/x
  3. Step 3: Cross multiply
    324,622.50x = 486,780.48 × 189,725.25
  4. Step 4: Simplify right side
    324,622.50x = 92,354,548,263.12
  5. Step 5: Solve for x
    x = 92,354,548,263.12/324,622.50
  6. Step 6: Final answer
    x = 284,498.30

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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.