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Finding the Fourth Proportional to 411,996.70, 617,804.70 and 187,348.06

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Solution

The fourth proportional to 411,996.70, 617,804.70 and 187,348.06 is: 280,935.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,996.70 : 617,804.70 = 187,348.06 : x
  2. Step 2: Convert to fraction form
    411,996.70/617,804.70 = 187,348.06/x
  3. Step 3: Cross multiply
    411,996.70x = 617,804.70 × 187,348.06
  4. Step 4: Simplify right side
    411,996.70x = 115,744,512,003.88
  5. Step 5: Solve for x
    x = 115,744,512,003.88/411,996.70
  6. Step 6: Final answer
    x = 280,935.53

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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.