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Finding the Fourth Proportional to 494,412.60, 741,813.30 and 194,842.20

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Solution

The fourth proportional to 494,412.60, 741,813.30 and 194,842.20 is: 292,339.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,412.60 : 741,813.30 = 194,842.20 : x
  2. Step 2: Convert to fraction form
    494,412.60/741,813.30 = 194,842.20/x
  3. Step 3: Cross multiply
    494,412.60x = 741,813.30 × 194,842.20
  4. Step 4: Simplify right side
    494,412.60x = 144,536,535,361.26
  5. Step 5: Solve for x
    x = 144,536,535,361.26/494,412.60
  6. Step 6: Final answer
    x = 292,339.91

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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.