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Finding the Fourth Proportional to 494,427.80, 741,641.70 and 420,944.60

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Solution

The fourth proportional to 494,427.80, 741,641.70 and 420,944.60 is: 631,416.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,427.80 : 741,641.70 = 420,944.60 : x
  2. Step 2: Convert to fraction form
    494,427.80/741,641.70 = 420,944.60/x
  3. Step 3: Cross multiply
    494,427.80x = 741,641.70 × 420,944.60
  4. Step 4: Simplify right side
    494,427.80x = 312,190,068,749.82
  5. Step 5: Solve for x
    x = 312,190,068,749.82/494,427.80
  6. Step 6: Final answer
    x = 631,416.90

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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.