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Finding the Fourth Proportional to 613,286.79, 919,865.47 and 164,053

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Solution

The fourth proportional to 613,286.79, 919,865.47 and 164,053 is: 246,062.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,286.79 : 919,865.47 = 164,053 : x
  2. Step 2: Convert to fraction form
    613,286.79/919,865.47 = 164,053/x
  3. Step 3: Cross multiply
    613,286.79x = 919,865.47 × 164,053
  4. Step 4: Simplify right side
    613,286.79x = 150,906,689,949.91
  5. Step 5: Solve for x
    x = 150,906,689,949.91/613,286.79
  6. Step 6: Final answer
    x = 246,062.19

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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.