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Finding the Fourth Proportional to 378,499.42, 522,311.60 and 217,240.96

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Solution

The fourth proportional to 378,499.42, 522,311.60 and 217,240.96 is: 299,782.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,499.42 : 522,311.60 = 217,240.96 : x
  2. Step 2: Convert to fraction form
    378,499.42/522,311.60 = 217,240.96/x
  3. Step 3: Cross multiply
    378,499.42x = 522,311.60 × 217,240.96
  4. Step 4: Simplify right side
    378,499.42x = 113,467,473,403.14
  5. Step 5: Solve for x
    x = 113,467,473,403.14/378,499.42
  6. Step 6: Final answer
    x = 299,782.42

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1.5x scale

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.