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Finding the Fourth Proportional to 284,997.60, 393,294.96 and 157,670.52

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Solution

The fourth proportional to 284,997.60, 393,294.96 and 157,670.52 is: 217,584.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,997.60 : 393,294.96 = 157,670.52 : x
  2. Step 2: Convert to fraction form
    284,997.60/393,294.96 = 157,670.52/x
  3. Step 3: Cross multiply
    284,997.60x = 393,294.96 × 157,670.52
  4. Step 4: Simplify right side
    284,997.60x = 62,011,020,856.58
  5. Step 5: Solve for x
    x = 62,011,020,856.58/284,997.60
  6. Step 6: Final answer
    x = 217,584.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.