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Finding the Fourth Proportional to 477,894.24, 659,418.47 and 273,905.87

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Solution

The fourth proportional to 477,894.24, 659,418.47 and 273,905.87 is: 377,946.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,894.24 : 659,418.47 = 273,905.87 : x
  2. Step 2: Convert to fraction form
    477,894.24/659,418.47 = 273,905.87/x
  3. Step 3: Cross multiply
    477,894.24x = 659,418.47 × 273,905.87
  4. Step 4: Simplify right side
    477,894.24x = 180,618,587,107.09
  5. Step 5: Solve for x
    x = 180,618,587,107.09/477,894.24
  6. Step 6: Final answer
    x = 377,946.78

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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.