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Finding the Fourth Proportional to 230,861.22, 346,319.42 and 218,264.10

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Solution

The fourth proportional to 230,861.22, 346,319.42 and 218,264.10 is: 327,422.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,861.22 : 346,319.42 = 218,264.10 : x
  2. Step 2: Convert to fraction form
    230,861.22/346,319.42 = 218,264.10/x
  3. Step 3: Cross multiply
    230,861.22x = 346,319.42 × 218,264.10
  4. Step 4: Simplify right side
    230,861.22x = 75,589,095,427.50
  5. Step 5: Solve for x
    x = 75,589,095,427.50/230,861.22
  6. Step 6: Final answer
    x = 327,422.23

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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.