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Finding the Fourth Proportional to 214,964.70, 322,447.05 and 214,964.70

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Solution

The fourth proportional to 214,964.70, 322,447.05 and 214,964.70 is: 322,447.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,964.70 : 322,447.05 = 214,964.70 : x
  2. Step 2: Convert to fraction form
    214,964.70/322,447.05 = 214,964.70/x
  3. Step 3: Cross multiply
    214,964.70x = 322,447.05 × 214,964.70
  4. Step 4: Simplify right side
    214,964.70x = 69,314,733,369.14
  5. Step 5: Solve for x
    x = 69,314,733,369.14/214,964.70
  6. Step 6: Final answer
    x = 322,447.05

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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.