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Finding the Fourth Proportional to 614,591.82, 921,887.80 and 193,900.50

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Solution

The fourth proportional to 614,591.82, 921,887.80 and 193,900.50 is: 290,850.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,591.82 : 921,887.80 = 193,900.50 : x
  2. Step 2: Convert to fraction form
    614,591.82/921,887.80 = 193,900.50/x
  3. Step 3: Cross multiply
    614,591.82x = 921,887.80 × 193,900.50
  4. Step 4: Simplify right side
    614,591.82x = 178,754,504,879.15
  5. Step 5: Solve for x
    x = 178,754,504,879.15/614,591.82
  6. Step 6: Final answer
    x = 290,850.77

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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.