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Finding the Fourth Proportional to 411,995.70, 617,803.20 and 187,347.06

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Solution

The fourth proportional to 411,995.70, 617,803.20 and 187,347.06 is: 280,934.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,995.70 : 617,803.20 = 187,347.06 : x
  2. Step 2: Convert to fraction form
    411,995.70/617,803.20 = 187,347.06/x
  3. Step 3: Cross multiply
    411,995.70x = 617,803.20 × 187,347.06
  4. Step 4: Simplify right side
    411,995.70x = 115,743,613,178.59
  5. Step 5: Solve for x
    x = 115,743,613,178.59/411,995.70
  6. Step 6: Final answer
    x = 280,934.03

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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.