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Finding the Fourth Proportional to 326,721.60, 490,096.80 and 184,564.80

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Solution

The fourth proportional to 326,721.60, 490,096.80 and 184,564.80 is: 276,855.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,721.60 : 490,096.80 = 184,564.80 : x
  2. Step 2: Convert to fraction form
    326,721.60/490,096.80 = 184,564.80/x
  3. Step 3: Cross multiply
    326,721.60x = 490,096.80 × 184,564.80
  4. Step 4: Simplify right side
    326,721.60x = 90,454,617,872.64
  5. Step 5: Solve for x
    x = 90,454,617,872.64/326,721.60
  6. Step 6: Final answer
    x = 276,855.33

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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.