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Finding the Fourth Proportional to 469,856.22, 648,401.92 and 254,996.21

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Solution

The fourth proportional to 469,856.22, 648,401.92 and 254,996.21 is: 351,894.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,856.22 : 648,401.92 = 254,996.21 : x
  2. Step 2: Convert to fraction form
    469,856.22/648,401.92 = 254,996.21/x
  3. Step 3: Cross multiply
    469,856.22x = 648,401.92 × 254,996.21
  4. Step 4: Simplify right side
    469,856.22x = 165,340,028,277.22
  5. Step 5: Solve for x
    x = 165,340,028,277.22/469,856.22
  6. Step 6: Final answer
    x = 351,894.94

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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.