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Finding the Fourth Proportional to 506,481.87, 698,261.01 and 324,878.58

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Solution

The fourth proportional to 506,481.87, 698,261.01 and 324,878.58 is: 447,893.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,481.87 : 698,261.01 = 324,878.58 : x
  2. Step 2: Convert to fraction form
    506,481.87/698,261.01 = 324,878.58/x
  3. Step 3: Cross multiply
    506,481.87x = 698,261.01 × 324,878.58
  4. Step 4: Simplify right side
    506,481.87x = 226,850,045,398.17
  5. Step 5: Solve for x
    x = 226,850,045,398.17/506,481.87
  6. Step 6: Final answer
    x = 447,893.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.