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Finding the Fourth Proportional to 414,083.20, 621,211.20 and 236,444.80

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Solution

The fourth proportional to 414,083.20, 621,211.20 and 236,444.80 is: 354,716.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,083.20 : 621,211.20 = 236,444.80 : x
  2. Step 2: Convert to fraction form
    414,083.20/621,211.20 = 236,444.80/x
  3. Step 3: Cross multiply
    414,083.20x = 621,211.20 × 236,444.80
  4. Step 4: Simplify right side
    414,083.20x = 146,882,157,941.76
  5. Step 5: Solve for x
    x = 146,882,157,941.76/414,083.20
  6. Step 6: Final answer
    x = 354,716.54

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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.