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Finding the Fourth Proportional to 494,617.50, 741,427.74 and 194,982.12

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Solution

The fourth proportional to 494,617.50, 741,427.74 and 194,982.12 is: 292,276.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,617.50 : 741,427.74 = 194,982.12 : x
  2. Step 2: Convert to fraction form
    494,617.50/741,427.74 = 194,982.12/x
  3. Step 3: Cross multiply
    494,617.50x = 741,427.74 × 194,982.12
  4. Step 4: Simplify right side
    494,617.50x = 144,565,152,572.01
  5. Step 5: Solve for x
    x = 144,565,152,572.01/494,617.50
  6. Step 6: Final answer
    x = 292,276.66

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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.