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Finding the Fourth Proportional to 505,663.68, 697,809.84 and 276,218.16

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Solution

The fourth proportional to 505,663.68, 697,809.84 and 276,218.16 is: 381,177.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,663.68 : 697,809.84 = 276,218.16 : x
  2. Step 2: Convert to fraction form
    505,663.68/697,809.84 = 276,218.16/x
  3. Step 3: Cross multiply
    505,663.68x = 697,809.84 × 276,218.16
  4. Step 4: Simplify right side
    505,663.68x = 192,747,750,034.69
  5. Step 5: Solve for x
    x = 192,747,750,034.69/505,663.68
  6. Step 6: Final answer
    x = 381,177.76

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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.