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Finding the Fourth Proportional to 543,809.10, 814,100.85 and 404,186.70

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Solution

The fourth proportional to 543,809.10, 814,100.85 and 404,186.70 is: 605,081.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,809.10 : 814,100.85 = 404,186.70 : x
  2. Step 2: Convert to fraction form
    543,809.10/814,100.85 = 404,186.70/x
  3. Step 3: Cross multiply
    543,809.10x = 814,100.85 × 404,186.70
  4. Step 4: Simplify right side
    543,809.10x = 329,048,736,028.70
  5. Step 5: Solve for x
    x = 329,048,736,028.70/543,809.10
  6. Step 6: Final answer
    x = 605,081.33

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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.