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Finding the Fourth Proportional to 469,474.92, 647,865.41 and 265,498.97

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Solution

The fourth proportional to 469,474.92, 647,865.41 and 265,498.97 is: 366,382.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,474.92 : 647,865.41 = 265,498.97 : x
  2. Step 2: Convert to fraction form
    469,474.92/647,865.41 = 265,498.97/x
  3. Step 3: Cross multiply
    469,474.92x = 647,865.41 × 265,498.97
  4. Step 4: Simplify right side
    469,474.92x = 172,007,594,486.81
  5. Step 5: Solve for x
    x = 172,007,594,486.81/469,474.92
  6. Step 6: Final answer
    x = 366,382.93

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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.