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Finding the Fourth Proportional to 467,992.21, 646,222.92 and 296,213.21

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Solution

The fourth proportional to 467,992.21, 646,222.92 and 296,213.21 is: 409,023.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,992.21 : 646,222.92 = 296,213.21 : x
  2. Step 2: Convert to fraction form
    467,992.21/646,222.92 = 296,213.21/x
  3. Step 3: Cross multiply
    467,992.21x = 646,222.92 × 296,213.21
  4. Step 4: Simplify right side
    467,992.21x = 191,419,766,127.32
  5. Step 5: Solve for x
    x = 191,419,766,127.32/467,992.21
  6. Step 6: Final answer
    x = 409,023.41

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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.