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Finding the Fourth Proportional to 385,107.27, 577,310.99 and 174,630.39

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Solution

The fourth proportional to 385,107.27, 577,310.99 and 174,630.39 is: 261,786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,107.27 : 577,310.99 = 174,630.39 : x
  2. Step 2: Convert to fraction form
    385,107.27/577,310.99 = 174,630.39/x
  3. Step 3: Cross multiply
    385,107.27x = 577,310.99 × 174,630.39
  4. Step 4: Simplify right side
    385,107.27x = 100,816,042,461.83
  5. Step 5: Solve for x
    x = 100,816,042,461.83/385,107.27
  6. Step 6: Final answer
    x = 261,786.91

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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.