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Finding the Fourth Proportional to 264,920.64, 365,408.64 and 221,192.64

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Solution

The fourth proportional to 264,920.64, 365,408.64 and 221,192.64 is: 305,094.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,920.64 : 365,408.64 = 221,192.64 : x
  2. Step 2: Convert to fraction form
    264,920.64/365,408.64 = 221,192.64/x
  3. Step 3: Cross multiply
    264,920.64x = 365,408.64 × 221,192.64
  4. Step 4: Simplify right side
    264,920.64x = 80,825,701,760.41
  5. Step 5: Solve for x
    x = 80,825,701,760.41/264,920.64
  6. Step 6: Final answer
    x = 305,094.02

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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.