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Finding the Fourth Proportional to 464,517, 696,892.50 and 132,093

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Solution

The fourth proportional to 464,517, 696,892.50 and 132,093 is: 198,172.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,517 : 696,892.50 = 132,093 : x
  2. Step 2: Convert to fraction form
    464,517/696,892.50 = 132,093/x
  3. Step 3: Cross multiply
    464,517x = 696,892.50 × 132,093
  4. Step 4: Simplify right side
    464,517x = 92,054,621,002.50
  5. Step 5: Solve for x
    x = 92,054,621,002.50/464,517
  6. Step 6: Final answer
    x = 198,172.77

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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.