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Finding the Fourth Proportional to 395,503.92, 592,993.44 and 277,318.56

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Solution

The fourth proportional to 395,503.92, 592,993.44 and 277,318.56 is: 415,793.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,503.92 : 592,993.44 = 277,318.56 : x
  2. Step 2: Convert to fraction form
    395,503.92/592,993.44 = 277,318.56/x
  3. Step 3: Cross multiply
    395,503.92x = 592,993.44 × 277,318.56
  4. Step 4: Simplify right side
    395,503.92x = 164,448,086,870.25
  5. Step 5: Solve for x
    x = 164,448,086,870.25/395,503.92
  6. Step 6: Final answer
    x = 415,793.82

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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.