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Finding the Fourth Proportional to 463,522.30, 694,019.04 and 350,861.02

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Solution

The fourth proportional to 463,522.30, 694,019.04 and 350,861.02 is: 525,334.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,522.30 : 694,019.04 = 350,861.02 : x
  2. Step 2: Convert to fraction form
    463,522.30/694,019.04 = 350,861.02/x
  3. Step 3: Cross multiply
    463,522.30x = 694,019.04 × 350,861.02
  4. Step 4: Simplify right side
    463,522.30x = 243,504,228,273.82
  5. Step 5: Solve for x
    x = 243,504,228,273.82/463,522.30
  6. Step 6: Final answer
    x = 525,334.44

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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.