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Finding the Fourth Proportional to 494,412.40, 741,618.60 and 120,435.40

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Solution

The fourth proportional to 494,412.40, 741,618.60 and 120,435.40 is: 180,653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,412.40 : 741,618.60 = 120,435.40 : x
  2. Step 2: Convert to fraction form
    494,412.40/741,618.60 = 120,435.40/x
  3. Step 3: Cross multiply
    494,412.40x = 741,618.60 × 120,435.40
  4. Step 4: Simplify right side
    494,412.40x = 89,317,132,738.44
  5. Step 5: Solve for x
    x = 89,317,132,738.44/494,412.40
  6. Step 6: Final answer
    x = 180,653.10

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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.