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Finding the Fourth Proportional to 471,603.16, 707,164.41 and 231,733

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Solution

The fourth proportional to 471,603.16, 707,164.41 and 231,733 is: 347,481.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,603.16 : 707,164.41 = 231,733 : x
  2. Step 2: Convert to fraction form
    471,603.16/707,164.41 = 231,733/x
  3. Step 3: Cross multiply
    471,603.16x = 707,164.41 × 231,733
  4. Step 4: Simplify right side
    471,603.16x = 163,873,330,222.53
  5. Step 5: Solve for x
    x = 163,873,330,222.53/471,603.16
  6. Step 6: Final answer
    x = 347,481.41

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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.