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Finding the Fourth Proportional to 307,201.74, 423,940.32 and 171,244.32

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Solution

The fourth proportional to 307,201.74, 423,940.32 and 171,244.32 is: 236,318.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,201.74 : 423,940.32 = 171,244.32 : x
  2. Step 2: Convert to fraction form
    307,201.74/423,940.32 = 171,244.32/x
  3. Step 3: Cross multiply
    307,201.74x = 423,940.32 × 171,244.32
  4. Step 4: Simplify right side
    307,201.74x = 72,597,371,818.98
  5. Step 5: Solve for x
    x = 72,597,371,818.98/307,201.74
  6. Step 6: Final answer
    x = 236,318.23

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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.