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Finding the Fourth Proportional to 367,909.09, 507,600.43 and 214,836.86

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Solution

The fourth proportional to 367,909.09, 507,600.43 and 214,836.86 is: 296,408.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,909.09 : 507,600.43 = 214,836.86 : x
  2. Step 2: Convert to fraction form
    367,909.09/507,600.43 = 214,836.86/x
  3. Step 3: Cross multiply
    367,909.09x = 507,600.43 × 214,836.86
  4. Step 4: Simplify right side
    367,909.09x = 109,051,279,977.85
  5. Step 5: Solve for x
    x = 109,051,279,977.85/367,909.09
  6. Step 6: Final answer
    x = 296,408.23

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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.