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Finding the Fourth Proportional to 366,456.42, 505,730.66 and 205,363.42

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Solution

The fourth proportional to 366,456.42, 505,730.66 and 205,363.42 is: 283,413.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,456.42 : 505,730.66 = 205,363.42 : x
  2. Step 2: Convert to fraction form
    366,456.42/505,730.66 = 205,363.42/x
  3. Step 3: Cross multiply
    366,456.42x = 505,730.66 × 205,363.42
  4. Step 4: Simplify right side
    366,456.42x = 103,858,575,645.31
  5. Step 5: Solve for x
    x = 103,858,575,645.31/366,456.42
  6. Step 6: Final answer
    x = 283,413.17

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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.