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Finding the Fourth Proportional to 494,593.98, 741,503.40 and 195,298.59

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Solution

The fourth proportional to 494,593.98, 741,503.40 and 195,298.59 is: 292,794.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,593.98 : 741,503.40 = 195,298.59 : x
  2. Step 2: Convert to fraction form
    494,593.98/741,503.40 = 195,298.59/x
  3. Step 3: Cross multiply
    494,593.98x = 741,503.40 × 195,298.59
  4. Step 4: Simplify right side
    494,593.98x = 144,814,570,548.47
  5. Step 5: Solve for x
    x = 144,814,570,548.47/494,593.98
  6. Step 6: Final answer
    x = 292,794.85

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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.