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Finding the Fourth Proportional to 503,610, 694,959.13 and 274,161.42

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Solution

The fourth proportional to 503,610, 694,959.13 and 274,161.42 is: 378,330.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,610 : 694,959.13 = 274,161.42 : x
  2. Step 2: Convert to fraction form
    503,610/694,959.13 = 274,161.42/x
  3. Step 3: Cross multiply
    503,610x = 694,959.13 × 274,161.42
  4. Step 4: Simplify right side
    503,610x = 190,530,977,077.16
  5. Step 5: Solve for x
    x = 190,530,977,077.16/503,610
  6. Step 6: Final answer
    x = 378,330.41

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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.