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Finding the Fourth Proportional to 613,285.79, 919,863.97 and 164,052

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Solution

The fourth proportional to 613,285.79, 919,863.97 and 164,052 is: 246,060.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,285.79 : 919,863.97 = 164,052 : x
  2. Step 2: Convert to fraction form
    613,285.79/919,863.97 = 164,052/x
  3. Step 3: Cross multiply
    613,285.79x = 919,863.97 × 164,052
  4. Step 4: Simplify right side
    613,285.79x = 150,905,523,596.31
  5. Step 5: Solve for x
    x = 150,905,523,596.31/613,285.79
  6. Step 6: Final answer
    x = 246,060.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.