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Finding the Fourth Proportional to 366,812.92, 506,195.38 and 205,667.47

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Solution

The fourth proportional to 366,812.92, 506,195.38 and 205,667.47 is: 283,817.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,812.92 : 506,195.38 = 205,667.47 : x
  2. Step 2: Convert to fraction form
    366,812.92/506,195.38 = 205,667.47/x
  3. Step 3: Cross multiply
    366,812.92x = 506,195.38 × 205,667.47
  4. Step 4: Simplify right side
    366,812.92x = 104,107,923,130.29
  5. Step 5: Solve for x
    x = 104,107,923,130.29/366,812.92
  6. Step 6: Final answer
    x = 283,817.49

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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.