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Finding the Fourth Proportional to 510,446.25, 765,611.00 and 136,498.41

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Solution

The fourth proportional to 510,446.25, 765,611.00 and 136,498.41 is: 204,732.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,446.25 : 765,611.00 = 136,498.41 : x
  2. Step 2: Convert to fraction form
    510,446.25/765,611.00 = 136,498.41/x
  3. Step 3: Cross multiply
    510,446.25x = 765,611.00 × 136,498.41
  4. Step 4: Simplify right side
    510,446.25x = 104,504,683,496.02
  5. Step 5: Solve for x
    x = 104,504,683,496.02/510,446.25
  6. Step 6: Final answer
    x = 204,732.00

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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.