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Finding the Fourth Proportional to 470,301.44, 705,229.52 and 182,247.84

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Solution

The fourth proportional to 470,301.44, 705,229.52 and 182,247.84 is: 273,285.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,301.44 : 705,229.52 = 182,247.84 : x
  2. Step 2: Convert to fraction form
    470,301.44/705,229.52 = 182,247.84/x
  3. Step 3: Cross multiply
    470,301.44x = 705,229.52 × 182,247.84
  4. Step 4: Simplify right side
    470,301.44x = 128,526,555,813.00
  5. Step 5: Solve for x
    x = 128,526,555,813.00/470,301.44
  6. Step 6: Final answer
    x = 273,285.49

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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.