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Finding the Fourth Proportional to 463,466.60, 694,163.10 and 380,522.60

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Solution

The fourth proportional to 463,466.60, 694,163.10 and 380,522.60 is: 569,932.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,466.60 : 694,163.10 = 380,522.60 : x
  2. Step 2: Convert to fraction form
    463,466.60/694,163.10 = 380,522.60/x
  3. Step 3: Cross multiply
    463,466.60x = 694,163.10 × 380,522.60
  4. Step 4: Simplify right side
    463,466.60x = 264,144,747,636.06
  5. Step 5: Solve for x
    x = 264,144,747,636.06/463,466.60
  6. Step 6: Final answer
    x = 569,932.65

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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.