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Finding the Fourth Proportional to 299,334.38, 413,152.26 and 172,083.92

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Solution

The fourth proportional to 299,334.38, 413,152.26 and 172,083.92 is: 237,516.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,334.38 : 413,152.26 = 172,083.92 : x
  2. Step 2: Convert to fraction form
    299,334.38/413,152.26 = 172,083.92/x
  3. Step 3: Cross multiply
    299,334.38x = 413,152.26 × 172,083.92
  4. Step 4: Simplify right side
    299,334.38x = 71,096,860,457.66
  5. Step 5: Solve for x
    x = 71,096,860,457.66/299,334.38
  6. Step 6: Final answer
    x = 237,516.52

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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.