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Finding the Fourth Proportional to 295,704, 408,071.52 and 161,568

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Solution

The fourth proportional to 295,704, 408,071.52 and 161,568 is: 222,963.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,704 : 408,071.52 = 161,568 : x
  2. Step 2: Convert to fraction form
    295,704/408,071.52 = 161,568/x
  3. Step 3: Cross multiply
    295,704x = 408,071.52 × 161,568
  4. Step 4: Simplify right side
    295,704x = 65,931,299,343.36
  5. Step 5: Solve for x
    x = 65,931,299,343.36/295,704
  6. Step 6: Final answer
    x = 222,963.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.