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Finding the Fourth Proportional to 389,150.73, 583,951.14 and 164,496.56

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Solution

The fourth proportional to 389,150.73, 583,951.14 and 164,496.56 is: 246,839.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,150.73 : 583,951.14 = 164,496.56 : x
  2. Step 2: Convert to fraction form
    389,150.73/583,951.14 = 164,496.56/x
  3. Step 3: Cross multiply
    389,150.73x = 583,951.14 × 164,496.56
  4. Step 4: Simplify right side
    389,150.73x = 96,057,950,818.32
  5. Step 5: Solve for x
    x = 96,057,950,818.32/389,150.73
  6. Step 6: Final answer
    x = 246,839.96

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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.