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Finding the Fourth Proportional to 329,902.47, 455,471.55 and 226,714.41

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Solution

The fourth proportional to 329,902.47, 455,471.55 and 226,714.41 is: 313,007.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,902.47 : 455,471.55 = 226,714.41 : x
  2. Step 2: Convert to fraction form
    329,902.47/455,471.55 = 226,714.41/x
  3. Step 3: Cross multiply
    329,902.47x = 455,471.55 × 226,714.41
  4. Step 4: Simplify right side
    329,902.47x = 103,261,963,730.04
  5. Step 5: Solve for x
    x = 103,261,963,730.04/329,902.47
  6. Step 6: Final answer
    x = 313,007.55

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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.