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Finding the Fourth Proportional to 494,522.60, 741,978.30 and 194,952.20

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Solution

The fourth proportional to 494,522.60, 741,978.30 and 194,952.20 is: 292,504.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,522.60 : 741,978.30 = 194,952.20 : x
  2. Step 2: Convert to fraction form
    494,522.60/741,978.30 = 194,952.20/x
  3. Step 3: Cross multiply
    494,522.60x = 741,978.30 × 194,952.20
  4. Step 4: Simplify right side
    494,522.60x = 144,650,301,937.26
  5. Step 5: Solve for x
    x = 144,650,301,937.26/494,522.60
  6. Step 6: Final answer
    x = 292,504.94

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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.