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Finding the Fourth Proportional to 647,904.69, 971,879.85 and 174,601.44

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Solution

The fourth proportional to 647,904.69, 971,879.85 and 174,601.44 is: 261,908.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,904.69 : 971,879.85 = 174,601.44 : x
  2. Step 2: Convert to fraction form
    647,904.69/971,879.85 = 174,601.44/x
  3. Step 3: Cross multiply
    647,904.69x = 971,879.85 × 174,601.44
  4. Step 4: Simplify right side
    647,904.69x = 169,691,621,316.98
  5. Step 5: Solve for x
    x = 169,691,621,316.98/647,904.69
  6. Step 6: Final answer
    x = 261,908.31

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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.