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Finding the Fourth Proportional to 505,764.56, 698,003.36 and 276,356.70

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Solution

The fourth proportional to 505,764.56, 698,003.36 and 276,356.70 is: 381,398.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,764.56 : 698,003.36 = 276,356.70 : x
  2. Step 2: Convert to fraction form
    505,764.56/698,003.36 = 276,356.70/x
  3. Step 3: Cross multiply
    505,764.56x = 698,003.36 × 276,356.70
  4. Step 4: Simplify right side
    505,764.56x = 192,897,905,158.51
  5. Step 5: Solve for x
    x = 192,897,905,158.51/505,764.56
  6. Step 6: Final answer
    x = 381,398.62

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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.