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Finding the Fourth Proportional to 469,092.63, 647,348.96 and 254,232.65

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Solution

The fourth proportional to 469,092.63, 647,348.96 and 254,232.65 is: 350,841.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,092.63 : 647,348.96 = 254,232.65 : x
  2. Step 2: Convert to fraction form
    469,092.63/647,348.96 = 254,232.65/x
  3. Step 3: Cross multiply
    469,092.63x = 647,348.96 × 254,232.65
  4. Step 4: Simplify right side
    469,092.63x = 164,577,237,067.64
  5. Step 5: Solve for x
    x = 164,577,237,067.64/469,092.63
  6. Step 6: Final answer
    x = 350,841.66

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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.