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Finding the Fourth Proportional to 366,323.14, 505,541.61 and 213,336.64

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Solution

The fourth proportional to 366,323.14, 505,541.61 and 213,336.64 is: 294,413.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,323.14 : 505,541.61 = 213,336.64 : x
  2. Step 2: Convert to fraction form
    366,323.14/505,541.61 = 213,336.64/x
  3. Step 3: Cross multiply
    366,323.14x = 505,541.61 × 213,336.64
  4. Step 4: Simplify right side
    366,323.14x = 107,850,547,193.74
  5. Step 5: Solve for x
    x = 107,850,547,193.74/366,323.14
  6. Step 6: Final answer
    x = 294,413.69

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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.