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Finding the Fourth Proportional to 417,242.26, 625,941.30 and 189,553.86

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Solution

The fourth proportional to 417,242.26, 625,941.30 and 189,553.86 is: 284,366.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,242.26 : 625,941.30 = 189,553.86 : x
  2. Step 2: Convert to fraction form
    417,242.26/625,941.30 = 189,553.86/x
  3. Step 3: Cross multiply
    417,242.26x = 625,941.30 × 189,553.86
  4. Step 4: Simplify right side
    417,242.26x = 118,649,589,548.42
  5. Step 5: Solve for x
    x = 118,649,589,548.42/417,242.26
  6. Step 6: Final answer
    x = 284,366.18

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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.