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Finding the Fourth Proportional to 321,748.48, 443,968.32 and 214,387.84

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Solution

The fourth proportional to 321,748.48, 443,968.32 and 214,387.84 is: 295,825.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,748.48 : 443,968.32 = 214,387.84 : x
  2. Step 2: Convert to fraction form
    321,748.48/443,968.32 = 214,387.84/x
  3. Step 3: Cross multiply
    321,748.48x = 443,968.32 × 214,387.84
  4. Step 4: Simplify right side
    321,748.48x = 95,181,409,153.23
  5. Step 5: Solve for x
    x = 95,181,409,153.23/321,748.48
  6. Step 6: Final answer
    x = 295,825.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.