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Finding the Fourth Proportional to 614,233.64, 921,481.64 and 214,887.44

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Solution

The fourth proportional to 614,233.64, 921,481.64 and 214,887.44 is: 322,377.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,233.64 : 921,481.64 = 214,887.44 : x
  2. Step 2: Convert to fraction form
    614,233.64/921,481.64 = 214,887.44/x
  3. Step 3: Cross multiply
    614,233.64x = 921,481.64 × 214,887.44
  4. Step 4: Simplify right side
    614,233.64x = 198,014,830,626.60
  5. Step 5: Solve for x
    x = 198,014,830,626.60/614,233.64
  6. Step 6: Final answer
    x = 322,377.05

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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.