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Finding the Fourth Proportional to 683,917.75, 943,777.14 and 377,978.32

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Solution

The fourth proportional to 683,917.75, 943,777.14 and 377,978.32 is: 521,593.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,917.75 : 943,777.14 = 377,978.32 : x
  2. Step 2: Convert to fraction form
    683,917.75/943,777.14 = 377,978.32/x
  3. Step 3: Cross multiply
    683,917.75x = 943,777.14 × 377,978.32
  4. Step 4: Simplify right side
    683,917.75x = 356,727,297,593.91
  5. Step 5: Solve for x
    x = 356,727,297,593.91/683,917.75
  6. Step 6: Final answer
    x = 521,593.86

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1.5x scale

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.