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Finding the Fourth Proportional to 417,244.26, 625,944.30 and 189,555.86

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Solution

The fourth proportional to 417,244.26, 625,944.30 and 189,555.86 is: 284,369.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,244.26 : 625,944.30 = 189,555.86 : x
  2. Step 2: Convert to fraction form
    417,244.26/625,944.30 = 189,555.86/x
  3. Step 3: Cross multiply
    417,244.26x = 625,944.30 × 189,555.86
  4. Step 4: Simplify right side
    417,244.26x = 118,651,410,098.60
  5. Step 5: Solve for x
    x = 118,651,410,098.60/417,244.26
  6. Step 6: Final answer
    x = 284,369.18

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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.