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Finding the Fourth Proportional to 271,795.38, 407,385.47 and 138,393.84

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Solution

The fourth proportional to 271,795.38, 407,385.47 and 138,393.84 is: 207,434.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,795.38 : 407,385.47 = 138,393.84 : x
  2. Step 2: Convert to fraction form
    271,795.38/407,385.47 = 138,393.84/x
  3. Step 3: Cross multiply
    271,795.38x = 407,385.47 × 138,393.84
  4. Step 4: Simplify right side
    271,795.38x = 56,379,638,861.54
  5. Step 5: Solve for x
    x = 56,379,638,861.54/271,795.38
  6. Step 6: Final answer
    x = 207,434.13

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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.