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Finding the Fourth Proportional to 214,982.20, 322,473.30 and 214,982.20

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Solution

The fourth proportional to 214,982.20, 322,473.30 and 214,982.20 is: 322,473.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,982.20 : 322,473.30 = 214,982.20 : x
  2. Step 2: Convert to fraction form
    214,982.20/322,473.30 = 214,982.20/x
  3. Step 3: Cross multiply
    214,982.20x = 322,473.30 × 214,982.20
  4. Step 4: Simplify right side
    214,982.20x = 69,326,019,475.26
  5. Step 5: Solve for x
    x = 69,326,019,475.26/214,982.20
  6. Step 6: Final answer
    x = 322,473.30

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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.