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Finding the Fourth Proportional to 543,497.30, 814,261.80 and 464,765.30

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Solution

The fourth proportional to 543,497.30, 814,261.80 and 464,765.30 is: 696,306.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,497.30 : 814,261.80 = 464,765.30 : x
  2. Step 2: Convert to fraction form
    543,497.30/814,261.80 = 464,765.30/x
  3. Step 3: Cross multiply
    543,497.30x = 814,261.80 × 464,765.30
  4. Step 4: Simplify right side
    543,497.30x = 378,440,629,755.54
  5. Step 5: Solve for x
    x = 378,440,629,755.54/543,497.30
  6. Step 6: Final answer
    x = 696,306.37

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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.