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Finding the Fourth Proportional to 464,418, 696,635.64 and 132,002.64

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Solution

The fourth proportional to 464,418, 696,635.64 and 132,002.64 is: 198,006.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,418 : 696,635.64 = 132,002.64 : x
  2. Step 2: Convert to fraction form
    464,418/696,635.64 = 132,002.64/x
  3. Step 3: Cross multiply
    464,418x = 696,635.64 × 132,002.64
  4. Step 4: Simplify right side
    464,418x = 91,957,743,598.09
  5. Step 5: Solve for x
    x = 91,957,743,598.09/464,418
  6. Step 6: Final answer
    x = 198,006.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.