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Finding the Fourth Proportional to 471,617.60, 706,981.70 and 234,736.34

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Solution

The fourth proportional to 471,617.60, 706,981.70 and 234,736.34 is: 351,883.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,617.60 : 706,981.70 = 234,736.34 : x
  2. Step 2: Convert to fraction form
    471,617.60/706,981.70 = 234,736.34/x
  3. Step 3: Cross multiply
    471,617.60x = 706,981.70 × 234,736.34
  4. Step 4: Simplify right side
    471,617.60x = 165,954,296,704.98
  5. Step 5: Solve for x
    x = 165,954,296,704.98/471,617.60
  6. Step 6: Final answer
    x = 351,883.17

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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.