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Finding the Fourth Proportional to 366,797.57, 506,169 and 205,661.84

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Solution

The fourth proportional to 366,797.57, 506,169 and 205,661.84 is: 283,806.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,797.57 : 506,169 = 205,661.84 : x
  2. Step 2: Convert to fraction form
    366,797.57/506,169 = 205,661.84/x
  3. Step 3: Cross multiply
    366,797.57x = 506,169 × 205,661.84
  4. Step 4: Simplify right side
    366,797.57x = 104,099,645,360.12
  5. Step 5: Solve for x
    x = 104,099,645,360.12/366,797.57
  6. Step 6: Final answer
    x = 283,806.81

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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.