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Finding the Fourth Proportional to 486,092.25, 729,173.41 and 186,572.83

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Solution

The fourth proportional to 486,092.25, 729,173.41 and 186,572.83 is: 279,872.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,092.25 : 729,173.41 = 186,572.83 : x
  2. Step 2: Convert to fraction form
    486,092.25/729,173.41 = 186,572.83/x
  3. Step 3: Cross multiply
    486,092.25x = 729,173.41 × 186,572.83
  4. Step 4: Simplify right side
    486,092.25x = 136,043,946,664.45
  5. Step 5: Solve for x
    x = 136,043,946,664.45/486,092.25
  6. Step 6: Final answer
    x = 279,872.69

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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.