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Finding the Fourth Proportional to 411,541.20, 617,020.20 and 187,009.20

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Solution

The fourth proportional to 411,541.20, 617,020.20 and 187,009.20 is: 280,381.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,541.20 : 617,020.20 = 187,009.20 : x
  2. Step 2: Convert to fraction form
    411,541.20/617,020.20 = 187,009.20/x
  3. Step 3: Cross multiply
    411,541.20x = 617,020.20 × 187,009.20
  4. Step 4: Simplify right side
    411,541.20x = 115,388,453,985.84
  5. Step 5: Solve for x
    x = 115,388,453,985.84/411,541.20
  6. Step 6: Final answer
    x = 280,381.29

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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.