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Finding the Fourth Proportional to 477,898.38, 659,494.71 and 263,033.82

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Solution

The fourth proportional to 477,898.38, 659,494.71 and 263,033.82 is: 362,983.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,898.38 : 659,494.71 = 263,033.82 : x
  2. Step 2: Convert to fraction form
    477,898.38/659,494.71 = 263,033.82/x
  3. Step 3: Cross multiply
    477,898.38x = 659,494.71 × 263,033.82
  4. Step 4: Simplify right side
    477,898.38x = 173,469,412,841.09
  5. Step 5: Solve for x
    x = 173,469,412,841.09/477,898.38
  6. Step 6: Final answer
    x = 362,983.89

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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.