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Finding the Fourth Proportional to 505,805.31, 698,003.06 and 276,357.56

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Solution

The fourth proportional to 505,805.31, 698,003.06 and 276,357.56 is: 381,368.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,805.31 : 698,003.06 = 276,357.56 : x
  2. Step 2: Convert to fraction form
    505,805.31/698,003.06 = 276,357.56/x
  3. Step 3: Cross multiply
    505,805.31x = 698,003.06 × 276,357.56
  4. Step 4: Simplify right side
    505,805.31x = 192,898,417,662.33
  5. Step 5: Solve for x
    x = 192,898,417,662.33/505,805.31
  6. Step 6: Final answer
    x = 381,368.91

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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.