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Finding the Fourth Proportional to 367,822.32, 507,578.60 and 214,874.67

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Solution

The fourth proportional to 367,822.32, 507,578.60 and 214,874.67 is: 296,517.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,822.32 : 507,578.60 = 214,874.67 : x
  2. Step 2: Convert to fraction form
    367,822.32/507,578.60 = 214,874.67/x
  3. Step 3: Cross multiply
    367,822.32x = 507,578.60 × 214,874.67
  4. Step 4: Simplify right side
    367,822.32x = 109,065,786,614.67
  5. Step 5: Solve for x
    x = 109,065,786,614.67/367,822.32
  6. Step 6: Final answer
    x = 296,517.59

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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.