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Finding the Fourth Proportional to 505,794.46, 697,988.19 and 276,346.82

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Solution

The fourth proportional to 505,794.46, 697,988.19 and 276,346.82 is: 381,354.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,794.46 : 697,988.19 = 276,346.82 : x
  2. Step 2: Convert to fraction form
    505,794.46/697,988.19 = 276,346.82/x
  3. Step 3: Cross multiply
    505,794.46x = 697,988.19 × 276,346.82
  4. Step 4: Simplify right side
    505,794.46x = 192,886,817,930.88
  5. Step 5: Solve for x
    x = 192,886,817,930.88/505,794.46
  6. Step 6: Final answer
    x = 381,354.15

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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.