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Finding the Fourth Proportional to 477,735.43, 659,199.54 and 273,747.10

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Solution

The fourth proportional to 477,735.43, 659,199.54 and 273,747.10 is: 377,727.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,735.43 : 659,199.54 = 273,747.10 : x
  2. Step 2: Convert to fraction form
    477,735.43/659,199.54 = 273,747.10/x
  3. Step 3: Cross multiply
    477,735.43x = 659,199.54 × 273,747.10
  4. Step 4: Simplify right side
    477,735.43x = 180,453,962,396.33
  5. Step 5: Solve for x
    x = 180,453,962,396.33/477,735.43
  6. Step 6: Final answer
    x = 377,727.82

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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.