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Finding the Fourth Proportional to 354,294.72, 531,192.96 and 164,553.66

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Solution

The fourth proportional to 354,294.72, 531,192.96 and 164,553.66 is: 246,714.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,294.72 : 531,192.96 = 164,553.66 : x
  2. Step 2: Convert to fraction form
    354,294.72/531,192.96 = 164,553.66/x
  3. Step 3: Cross multiply
    354,294.72x = 531,192.96 × 164,553.66
  4. Step 4: Simplify right side
    354,294.72x = 87,409,745,734.23
  5. Step 5: Solve for x
    x = 87,409,745,734.23/354,294.72
  6. Step 6: Final answer
    x = 246,714.79

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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.