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Finding the Fourth Proportional to 323,381.16, 484,893.20 and 150,083.97

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Solution

The fourth proportional to 323,381.16, 484,893.20 and 150,083.97 is: 225,043.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,381.16 : 484,893.20 = 150,083.97 : x
  2. Step 2: Convert to fraction form
    323,381.16/484,893.20 = 150,083.97/x
  3. Step 3: Cross multiply
    323,381.16x = 484,893.20 × 150,083.97
  4. Step 4: Simplify right side
    323,381.16x = 72,774,695,731.58
  5. Step 5: Solve for x
    x = 72,774,695,731.58/323,381.16
  6. Step 6: Final answer
    x = 225,043.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.