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Finding the Fourth Proportional to 589,846, 884,772.24 and 146,614

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Solution

The fourth proportional to 589,846, 884,772.24 and 146,614 is: 219,921.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,846 : 884,772.24 = 146,614 : x
  2. Step 2: Convert to fraction form
    589,846/884,772.24 = 146,614/x
  3. Step 3: Cross multiply
    589,846x = 884,772.24 × 146,614
  4. Step 4: Simplify right side
    589,846x = 129,719,997,195.36
  5. Step 5: Solve for x
    x = 129,719,997,195.36/589,846
  6. Step 6: Final answer
    x = 219,921.81

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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.