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Finding the Fourth Proportional to 285,997.64, 394,671.49 and 158,670.50

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Solution

The fourth proportional to 285,997.64, 394,671.49 and 158,670.50 is: 218,962.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,997.64 : 394,671.49 = 158,670.50 : x
  2. Step 2: Convert to fraction form
    285,997.64/394,671.49 = 158,670.50/x
  3. Step 3: Cross multiply
    285,997.64x = 394,671.49 × 158,670.50
  4. Step 4: Simplify right side
    285,997.64x = 62,622,720,284.01
  5. Step 5: Solve for x
    x = 62,622,720,284.01/285,997.64
  6. Step 6: Final answer
    x = 218,962.37

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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.