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Finding the Fourth Proportional to 329,957.76, 455,335.44 and 200,849.28

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Solution

The fourth proportional to 329,957.76, 455,335.44 and 200,849.28 is: 277,168.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,957.76 : 455,335.44 = 200,849.28 : x
  2. Step 2: Convert to fraction form
    329,957.76/455,335.44 = 200,849.28/x
  3. Step 3: Cross multiply
    329,957.76x = 455,335.44 × 200,849.28
  4. Step 4: Simplify right side
    329,957.76x = 91,453,795,282.48
  5. Step 5: Solve for x
    x = 91,453,795,282.48/329,957.76
  6. Step 6: Final answer
    x = 277,168.19

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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.