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Finding the Fourth Proportional to 407,644.20, 611,552.70 and 123,311.40

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Solution

The fourth proportional to 407,644.20, 611,552.70 and 123,311.40 is: 184,993.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,644.20 : 611,552.70 = 123,311.40 : x
  2. Step 2: Convert to fraction form
    407,644.20/611,552.70 = 123,311.40/x
  3. Step 3: Cross multiply
    407,644.20x = 611,552.70 × 123,311.40
  4. Step 4: Simplify right side
    407,644.20x = 75,411,419,610.78
  5. Step 5: Solve for x
    x = 75,411,419,610.78/407,644.20
  6. Step 6: Final answer
    x = 184,993.24

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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.