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Finding the Fourth Proportional to 494,095.80, 741,489.30 and 317,033.40

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Solution

The fourth proportional to 494,095.80, 741,489.30 and 317,033.40 is: 475,771.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,095.80 : 741,489.30 = 317,033.40 : x
  2. Step 2: Convert to fraction form
    494,095.80/741,489.30 = 317,033.40/x
  3. Step 3: Cross multiply
    494,095.80x = 741,489.30 × 317,033.40
  4. Step 4: Simplify right side
    494,095.80x = 235,076,873,842.62
  5. Step 5: Solve for x
    x = 235,076,873,842.62/494,095.80
  6. Step 6: Final answer
    x = 475,771.85

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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.