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Finding the Fourth Proportional to 324,196.80, 486,064.80 and 146,788.80

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Solution

The fourth proportional to 324,196.80, 486,064.80 and 146,788.80 is: 220,078.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,196.80 : 486,064.80 = 146,788.80 : x
  2. Step 2: Convert to fraction form
    324,196.80/486,064.80 = 146,788.80/x
  3. Step 3: Cross multiply
    324,196.80x = 486,064.80 × 146,788.80
  4. Step 4: Simplify right side
    324,196.80x = 71,348,868,714.24
  5. Step 5: Solve for x
    x = 71,348,868,714.24/324,196.80
  6. Step 6: Final answer
    x = 220,078.88

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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.