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Finding the Fourth Proportional to 366,813.42, 506,196.07 and 205,667.97

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Solution

The fourth proportional to 366,813.42, 506,196.07 and 205,667.97 is: 283,818.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,813.42 : 506,196.07 = 205,667.97 : x
  2. Step 2: Convert to fraction form
    366,813.42/506,196.07 = 205,667.97/x
  3. Step 3: Cross multiply
    366,813.42x = 506,196.07 × 205,667.97
  4. Step 4: Simplify right side
    366,813.42x = 104,108,318,138.88
  5. Step 5: Solve for x
    x = 104,108,318,138.88/366,813.42
  6. Step 6: Final answer
    x = 283,818.18

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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.