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Finding the Fourth Proportional to 503,505.17, 694,851.91 and 274,077.42

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Solution

The fourth proportional to 503,505.17, 694,851.91 and 274,077.42 is: 378,234.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,505.17 : 694,851.91 = 274,077.42 : x
  2. Step 2: Convert to fraction form
    503,505.17/694,851.91 = 274,077.42/x
  3. Step 3: Cross multiply
    503,505.17x = 694,851.91 × 274,077.42
  4. Step 4: Simplify right side
    503,505.17x = 190,443,220,741.50
  5. Step 5: Solve for x
    x = 190,443,220,741.50/503,505.17
  6. Step 6: Final answer
    x = 378,234.89

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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.