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Finding the Fourth Proportional to 333,096.35, 499,398.29 and 172,942.34

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Solution

The fourth proportional to 333,096.35, 499,398.29 and 172,942.34 is: 259,285.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,096.35 : 499,398.29 = 172,942.34 : x
  2. Step 2: Convert to fraction form
    333,096.35/499,398.29 = 172,942.34/x
  3. Step 3: Cross multiply
    333,096.35x = 499,398.29 × 172,942.34
  4. Step 4: Simplify right side
    333,096.35x = 86,367,107,999.89
  5. Step 5: Solve for x
    x = 86,367,107,999.89/333,096.35
  6. Step 6: Final answer
    x = 259,285.66

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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.