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Finding the Fourth Proportional to 470,744.24, 706,110.24 and 115,761.36

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Solution

The fourth proportional to 470,744.24, 706,110.24 and 115,761.36 is: 173,640.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,744.24 : 706,110.24 = 115,761.36 : x
  2. Step 2: Convert to fraction form
    470,744.24/706,110.24 = 115,761.36/x
  3. Step 3: Cross multiply
    470,744.24x = 706,110.24 × 115,761.36
  4. Step 4: Simplify right side
    470,744.24x = 81,740,281,692.33
  5. Step 5: Solve for x
    x = 81,740,281,692.33/470,744.24
  6. Step 6: Final answer
    x = 173,640.54

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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.