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Finding the Fourth Proportional to 321,557.76, 443,902.08 and 214,306.56

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Solution

The fourth proportional to 321,557.76, 443,902.08 and 214,306.56 is: 295,844.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,557.76 : 443,902.08 = 214,306.56 : x
  2. Step 2: Convert to fraction form
    321,557.76/443,902.08 = 214,306.56/x
  3. Step 3: Cross multiply
    321,557.76x = 443,902.08 × 214,306.56
  4. Step 4: Simplify right side
    321,557.76x = 95,131,127,741.64
  5. Step 5: Solve for x
    x = 95,131,127,741.64/321,557.76
  6. Step 6: Final answer
    x = 295,844.60

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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.