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Finding the Fourth Proportional to 411,996.95, 617,805.08 and 187,348.31

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Solution

The fourth proportional to 411,996.95, 617,805.08 and 187,348.31 is: 280,935.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,996.95 : 617,805.08 = 187,348.31 : x
  2. Step 2: Convert to fraction form
    411,996.95/617,805.08 = 187,348.31/x
  3. Step 3: Cross multiply
    411,996.95x = 617,805.08 × 187,348.31
  4. Step 4: Simplify right side
    411,996.95x = 115,744,736,710.67
  5. Step 5: Solve for x
    x = 115,744,736,710.67/411,996.95
  6. Step 6: Final answer
    x = 280,935.91

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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.