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Finding the Fourth Proportional to 471,143.36, 706,343.36 and 234,356.80

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Solution

The fourth proportional to 471,143.36, 706,343.36 and 234,356.80 is: 351,350.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,143.36 : 706,343.36 = 234,356.80 : x
  2. Step 2: Convert to fraction form
    471,143.36/706,343.36 = 234,356.80/x
  3. Step 3: Cross multiply
    471,143.36x = 706,343.36 × 234,356.80
  4. Step 4: Simplify right side
    471,143.36x = 165,536,369,550.85
  5. Step 5: Solve for x
    x = 165,536,369,550.85/471,143.36
  6. Step 6: Final answer
    x = 351,350.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.