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Finding the Fourth Proportional to 472,524.22, 652,099.17 and 257,676.07

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Solution

The fourth proportional to 472,524.22, 652,099.17 and 257,676.07 is: 355,601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,524.22 : 652,099.17 = 257,676.07 : x
  2. Step 2: Convert to fraction form
    472,524.22/652,099.17 = 257,676.07/x
  3. Step 3: Cross multiply
    472,524.22x = 652,099.17 × 257,676.07
  4. Step 4: Simplify right side
    472,524.22x = 168,030,351,375.86
  5. Step 5: Solve for x
    x = 168,030,351,375.86/472,524.22
  6. Step 6: Final answer
    x = 355,601.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.