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Finding the Fourth Proportional to 364,731.84, 503,413.92 and 213,877.44

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Solution

The fourth proportional to 364,731.84, 503,413.92 and 213,877.44 is: 295,200.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,731.84 : 503,413.92 = 213,877.44 : x
  2. Step 2: Convert to fraction form
    364,731.84/503,413.92 = 213,877.44/x
  3. Step 3: Cross multiply
    364,731.84x = 503,413.92 × 213,877.44
  4. Step 4: Simplify right side
    364,731.84x = 107,668,880,469.97
  5. Step 5: Solve for x
    x = 107,668,880,469.97/364,731.84
  6. Step 6: Final answer
    x = 295,200.11

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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.