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Finding the Fourth Proportional to 494,005.60, 741,202.80 and 194,435.20

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Solution

The fourth proportional to 494,005.60, 741,202.80 and 194,435.20 is: 291,729.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,005.60 : 741,202.80 = 194,435.20 : x
  2. Step 2: Convert to fraction form
    494,005.60/741,202.80 = 194,435.20/x
  3. Step 3: Cross multiply
    494,005.60x = 741,202.80 × 194,435.20
  4. Step 4: Simplify right side
    494,005.60x = 144,115,914,658.56
  5. Step 5: Solve for x
    x = 144,115,914,658.56/494,005.60
  6. Step 6: Final answer
    x = 291,729.31

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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.