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Finding the Fourth Proportional to 589,876, 884,817.24 and 146,644

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Solution

The fourth proportional to 589,876, 884,817.24 and 146,644 is: 219,966.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,876 : 884,817.24 = 146,644 : x
  2. Step 2: Convert to fraction form
    589,876/884,817.24 = 146,644/x
  3. Step 3: Cross multiply
    589,876x = 884,817.24 × 146,644
  4. Step 4: Simplify right side
    589,876x = 129,753,139,342.56
  5. Step 5: Solve for x
    x = 129,753,139,342.56/589,876
  6. Step 6: Final answer
    x = 219,966.81

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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.