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Finding the Fourth Proportional to 366,689.80, 506,067.78 and 205,545.16

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Solution

The fourth proportional to 366,689.80, 506,067.78 and 205,545.16 is: 283,672.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,689.80 : 506,067.78 = 205,545.16 : x
  2. Step 2: Convert to fraction form
    366,689.80/506,067.78 = 205,545.16/x
  3. Step 3: Cross multiply
    366,689.80x = 506,067.78 × 205,545.16
  4. Step 4: Simplify right side
    366,689.80x = 104,019,782,810.95
  5. Step 5: Solve for x
    x = 104,019,782,810.95/366,689.80
  6. Step 6: Final answer
    x = 283,672.42

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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.