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Finding the Fourth Proportional to 505,263.52, 697,239.17 and 287,451.68

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Solution

The fourth proportional to 505,263.52, 697,239.17 and 287,451.68 is: 396,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,263.52 : 697,239.17 = 287,451.68 : x
  2. Step 2: Convert to fraction form
    505,263.52/697,239.17 = 287,451.68/x
  3. Step 3: Cross multiply
    505,263.52x = 697,239.17 × 287,451.68
  4. Step 4: Simplify right side
    505,263.52x = 200,422,571,084.15
  5. Step 5: Solve for x
    x = 200,422,571,084.15/505,263.52
  6. Step 6: Final answer
    x = 396,669.39

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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.