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Finding the Fourth Proportional to 363,469.70, 501,743.26 and 258,761.14

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Solution

The fourth proportional to 363,469.70, 501,743.26 and 258,761.14 is: 357,200.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,469.70 : 501,743.26 = 258,761.14 : x
  2. Step 2: Convert to fraction form
    363,469.70/501,743.26 = 258,761.14/x
  3. Step 3: Cross multiply
    363,469.70x = 501,743.26 × 258,761.14
  4. Step 4: Simplify right side
    363,469.70x = 129,831,657,944.92
  5. Step 5: Solve for x
    x = 129,831,657,944.92/363,469.70
  6. Step 6: Final answer
    x = 357,200.77

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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.