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Finding the Fourth Proportional to 284,584.14, 392,713.36 and 157,257

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Solution

The fourth proportional to 284,584.14, 392,713.36 and 157,257 is: 217,007.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,584.14 : 392,713.36 = 157,257 : x
  2. Step 2: Convert to fraction form
    284,584.14/392,713.36 = 157,257/x
  3. Step 3: Cross multiply
    284,584.14x = 392,713.36 × 157,257
  4. Step 4: Simplify right side
    284,584.14x = 61,756,924,853.52
  5. Step 5: Solve for x
    x = 61,756,924,853.52/284,584.14
  6. Step 6: Final answer
    x = 217,007.61

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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.