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Finding the Fourth Proportional to 457,653.29, 685,704.91 and 277,193.44

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Solution

The fourth proportional to 457,653.29, 685,704.91 and 277,193.44 is: 415,320.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,653.29 : 685,704.91 = 277,193.44 : x
  2. Step 2: Convert to fraction form
    457,653.29/685,704.91 = 277,193.44/x
  3. Step 3: Cross multiply
    457,653.29x = 685,704.91 × 277,193.44
  4. Step 4: Simplify right side
    457,653.29x = 190,072,899,399.27
  5. Step 5: Solve for x
    x = 190,072,899,399.27/457,653.29
  6. Step 6: Final answer
    x = 415,320.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.