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Finding the Fourth Proportional to 614,099.80, 921,279.30 and 193,418.20

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Solution

The fourth proportional to 614,099.80, 921,279.30 and 193,418.20 is: 290,168.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,099.80 : 921,279.30 = 193,418.20 : x
  2. Step 2: Convert to fraction form
    614,099.80/921,279.30 = 193,418.20/x
  3. Step 3: Cross multiply
    614,099.80x = 921,279.30 × 193,418.20
  4. Step 4: Simplify right side
    614,099.80x = 178,192,183,903.26
  5. Step 5: Solve for x
    x = 178,192,183,903.26/614,099.80
  6. Step 6: Final answer
    x = 290,168.12

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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.