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Finding the Fourth Proportional to 338,093.60, 507,648.41 and 321,843.27

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Solution

The fourth proportional to 338,093.60, 507,648.41 and 321,843.27 is: 483,248.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,093.60 : 507,648.41 = 321,843.27 : x
  2. Step 2: Convert to fraction form
    338,093.60/507,648.41 = 321,843.27/x
  3. Step 3: Cross multiply
    338,093.60x = 507,648.41 × 321,843.27
  4. Step 4: Simplify right side
    338,093.60x = 163,383,227,596.45
  5. Step 5: Solve for x
    x = 163,383,227,596.45/338,093.60
  6. Step 6: Final answer
    x = 483,248.51

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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.