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Finding the Fourth Proportional to 364,262.40, 546,362.88 and 205,992.96

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Solution

The fourth proportional to 364,262.40, 546,362.88 and 205,992.96 is: 308,972.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,262.40 : 546,362.88 = 205,992.96 : x
  2. Step 2: Convert to fraction form
    364,262.40/546,362.88 = 205,992.96/x
  3. Step 3: Cross multiply
    364,262.40x = 546,362.88 × 205,992.96
  4. Step 4: Simplify right side
    364,262.40x = 112,546,906,885.33
  5. Step 5: Solve for x
    x = 112,546,906,885.33/364,262.40
  6. Step 6: Final answer
    x = 308,972.07

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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.