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Finding the Fourth Proportional to 411,644.70, 617,175.45 and 187,112.70

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Solution

The fourth proportional to 411,644.70, 617,175.45 and 187,112.70 is: 280,536.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,644.70 : 617,175.45 = 187,112.70 : x
  2. Step 2: Convert to fraction form
    411,644.70/617,175.45 = 187,112.70/x
  3. Step 3: Cross multiply
    411,644.70x = 617,175.45 × 187,112.70
  4. Step 4: Simplify right side
    411,644.70x = 115,481,364,823.22
  5. Step 5: Solve for x
    x = 115,481,364,823.22/411,644.70
  6. Step 6: Final answer
    x = 280,536.50

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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.