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Finding the Fourth Proportional to 469,164.69, 647,448.66 and 254,305.61

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Solution

The fourth proportional to 469,164.69, 647,448.66 and 254,305.61 is: 350,942.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,164.69 : 647,448.66 = 254,305.61 : x
  2. Step 2: Convert to fraction form
    469,164.69/647,448.66 = 254,305.61/x
  3. Step 3: Cross multiply
    469,164.69x = 647,448.66 × 254,305.61
  4. Step 4: Simplify right side
    469,164.69x = 164,649,826,424.98
  5. Step 5: Solve for x
    x = 164,649,826,424.98/469,164.69
  6. Step 6: Final answer
    x = 350,942.49

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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.