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Finding the Fourth Proportional to 341,207.90, 512,233.05 and 214,847.90

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Solution

The fourth proportional to 341,207.90, 512,233.05 and 214,847.90 is: 322,537.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,207.90 : 512,233.05 = 214,847.90 : x
  2. Step 2: Convert to fraction form
    341,207.90/512,233.05 = 214,847.90/x
  3. Step 3: Cross multiply
    341,207.90x = 512,233.05 × 214,847.90
  4. Step 4: Simplify right side
    341,207.90x = 110,052,195,103.10
  5. Step 5: Solve for x
    x = 110,052,195,103.10/341,207.90
  6. Step 6: Final answer
    x = 322,537.07

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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.