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Finding the Fourth Proportional to 307,414, 424,231.32 and 173,278

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Solution

The fourth proportional to 307,414, 424,231.32 and 173,278 is: 239,123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,414 : 424,231.32 = 173,278 : x
  2. Step 2: Convert to fraction form
    307,414/424,231.32 = 173,278/x
  3. Step 3: Cross multiply
    307,414x = 424,231.32 × 173,278
  4. Step 4: Simplify right side
    307,414x = 73,509,954,666.96
  5. Step 5: Solve for x
    x = 73,509,954,666.96/307,414
  6. Step 6: Final answer
    x = 239,123.64

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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.