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Finding the Fourth Proportional to 417,243.26, 625,942.80 and 189,554.86

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Solution

The fourth proportional to 417,243.26, 625,942.80 and 189,554.86 is: 284,367.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,243.26 : 625,942.80 = 189,554.86 : x
  2. Step 2: Convert to fraction form
    417,243.26/625,942.80 = 189,554.86/x
  3. Step 3: Cross multiply
    417,243.26x = 625,942.80 × 189,554.86
  4. Step 4: Simplify right side
    417,243.26x = 118,650,499,822.01
  5. Step 5: Solve for x
    x = 118,650,499,822.01/417,243.26
  6. Step 6: Final answer
    x = 284,367.68

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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.