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Finding the Fourth Proportional to 308,163.94, 461,456.76 and 213,262.72

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Solution

The fourth proportional to 308,163.94, 461,456.76 and 213,262.72 is: 319,347.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,163.94 : 461,456.76 = 213,262.72 : x
  2. Step 2: Convert to fraction form
    308,163.94/461,456.76 = 213,262.72/x
  3. Step 3: Cross multiply
    308,163.94x = 461,456.76 × 213,262.72
  4. Step 4: Simplify right side
    308,163.94x = 98,411,523,799.99
  5. Step 5: Solve for x
    x = 98,411,523,799.99/308,163.94
  6. Step 6: Final answer
    x = 319,347.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.