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Finding the Fourth Proportional to 505,338.24, 697,367.70 and 278,983.92

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Solution

The fourth proportional to 505,338.24, 697,367.70 and 278,983.92 is: 384,998.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,338.24 : 697,367.70 = 278,983.92 : x
  2. Step 2: Convert to fraction form
    505,338.24/697,367.70 = 278,983.92/x
  3. Step 3: Cross multiply
    505,338.24x = 697,367.70 × 278,983.92
  4. Step 4: Simplify right side
    505,338.24x = 194,554,374,627.38
  5. Step 5: Solve for x
    x = 194,554,374,627.38/505,338.24
  6. Step 6: Final answer
    x = 384,998.32

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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.