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Finding the Fourth Proportional to 477,642.82, 659,147.07 and 262,778.27

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Solution

The fourth proportional to 477,642.82, 659,147.07 and 262,778.27 is: 362,634.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,642.82 : 659,147.07 = 262,778.27 : x
  2. Step 2: Convert to fraction form
    477,642.82/659,147.07 = 262,778.27/x
  3. Step 3: Cross multiply
    477,642.82x = 659,147.07 × 262,778.27
  4. Step 4: Simplify right side
    477,642.82x = 173,209,529,611.87
  5. Step 5: Solve for x
    x = 173,209,529,611.87/477,642.82
  6. Step 6: Final answer
    x = 362,634.01

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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.