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Finding the Fourth Proportional to 468,662.22, 646,781.76 and 264,638.21

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Solution

The fourth proportional to 468,662.22, 646,781.76 and 264,638.21 is: 365,216.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,662.22 : 646,781.76 = 264,638.21 : x
  2. Step 2: Convert to fraction form
    468,662.22/646,781.76 = 264,638.21/x
  3. Step 3: Cross multiply
    468,662.22x = 646,781.76 × 264,638.21
  4. Step 4: Simplify right side
    468,662.22x = 171,163,163,993.14
  5. Step 5: Solve for x
    x = 171,163,163,993.14/468,662.22
  6. Step 6: Final answer
    x = 365,216.48

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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.