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Finding the Fourth Proportional to 284,789.32, 393,007.55 and 157,464

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Solution

The fourth proportional to 284,789.32, 393,007.55 and 157,464 is: 217,299.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,789.32 : 393,007.55 = 157,464 : x
  2. Step 2: Convert to fraction form
    284,789.32/393,007.55 = 157,464/x
  3. Step 3: Cross multiply
    284,789.32x = 393,007.55 × 157,464
  4. Step 4: Simplify right side
    284,789.32x = 61,884,540,065.88
  5. Step 5: Solve for x
    x = 61,884,540,065.88/284,789.32
  6. Step 6: Final answer
    x = 217,299.37

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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.