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Finding the Fourth Proportional to 468,600, 646,784.64 and 267,512.64

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Solution

The fourth proportional to 468,600, 646,784.64 and 267,512.64 is: 369,234.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,600 : 646,784.64 = 267,512.64 : x
  2. Step 2: Convert to fraction form
    468,600/646,784.64 = 267,512.64/x
  3. Step 3: Cross multiply
    468,600x = 646,784.64 × 267,512.64
  4. Step 4: Simplify right side
    468,600x = 173,023,066,557.85
  5. Step 5: Solve for x
    x = 173,023,066,557.85/468,600
  6. Step 6: Final answer
    x = 369,234.03

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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.