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Finding the Fourth Proportional to 284,825.20, 393,051 and 157,496.44

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Solution

The fourth proportional to 284,825.20, 393,051 and 157,496.44 is: 217,340.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,825.20 : 393,051 = 157,496.44 : x
  2. Step 2: Convert to fraction form
    284,825.20/393,051 = 157,496.44/x
  3. Step 3: Cross multiply
    284,825.20x = 393,051 × 157,496.44
  4. Step 4: Simplify right side
    284,825.20x = 61,904,133,238.44
  5. Step 5: Solve for x
    x = 61,904,133,238.44/284,825.20
  6. Step 6: Final answer
    x = 217,340.79

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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.