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Finding the Fourth Proportional to 505,654.68, 697,805.84 and 276,215.15

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Solution

The fourth proportional to 505,654.68, 697,805.84 and 276,215.15 is: 381,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,654.68 : 697,805.84 = 276,215.15 : x
  2. Step 2: Convert to fraction form
    505,654.68/697,805.84 = 276,215.15/x
  3. Step 3: Cross multiply
    505,654.68x = 697,805.84 × 276,215.15
  4. Step 4: Simplify right side
    505,654.68x = 192,744,539,896.37
  5. Step 5: Solve for x
    x = 192,744,539,896.37/505,654.68
  6. Step 6: Final answer
    x = 381,178.20

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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.