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Finding the Fourth Proportional to 367,824.32, 507,581.36 and 214,876.67

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Solution

The fourth proportional to 367,824.32, 507,581.36 and 214,876.67 is: 296,520.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,824.32 : 507,581.36 = 214,876.67 : x
  2. Step 2: Convert to fraction form
    367,824.32/507,581.36 = 214,876.67/x
  3. Step 3: Cross multiply
    367,824.32x = 507,581.36 × 214,876.67
  4. Step 4: Simplify right side
    367,824.32x = 109,067,392,390.87
  5. Step 5: Solve for x
    x = 109,067,392,390.87/367,824.32
  6. Step 6: Final answer
    x = 296,520.34

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