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Finding the Fourth Proportional to 489,076.80, 733,615.20 and 317,834.70

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Solution

The fourth proportional to 489,076.80, 733,615.20 and 317,834.70 is: 476,752.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,076.80 : 733,615.20 = 317,834.70 : x
  2. Step 2: Convert to fraction form
    489,076.80/733,615.20 = 317,834.70/x
  3. Step 3: Cross multiply
    489,076.80x = 733,615.20 × 317,834.70
  4. Step 4: Simplify right side
    489,076.80x = 233,168,367,007.44
  5. Step 5: Solve for x
    x = 233,168,367,007.44/489,076.80
  6. Step 6: Final answer
    x = 476,752.05

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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.