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Finding the Fourth Proportional to 589,763, 884,644.50 and 146,531

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Solution

The fourth proportional to 589,763, 884,644.50 and 146,531 is: 219,796.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,763 : 884,644.50 = 146,531 : x
  2. Step 2: Convert to fraction form
    589,763/884,644.50 = 146,531/x
  3. Step 3: Cross multiply
    589,763x = 884,644.50 × 146,531
  4. Step 4: Simplify right side
    589,763x = 129,627,843,229.50
  5. Step 5: Solve for x
    x = 129,627,843,229.50/589,763
  6. Step 6: Final answer
    x = 219,796.50

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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.