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Finding the Fourth Proportional to 543,937.80, 815,906.70 and 463,456.20

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Solution

The fourth proportional to 543,937.80, 815,906.70 and 463,456.20 is: 695,184.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,937.80 : 815,906.70 = 463,456.20 : x
  2. Step 2: Convert to fraction form
    543,937.80/815,906.70 = 463,456.20/x
  3. Step 3: Cross multiply
    543,937.80x = 815,906.70 × 463,456.20
  4. Step 4: Simplify right side
    543,937.80x = 378,137,018,736.54
  5. Step 5: Solve for x
    x = 378,137,018,736.54/543,937.80
  6. Step 6: Final answer
    x = 695,184.30

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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.