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Finding the Fourth Proportional to 489,830.40, 733,838.40 and 278,841.60

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Solution

The fourth proportional to 489,830.40, 733,838.40 and 278,841.60 is: 417,745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,830.40 : 733,838.40 = 278,841.60 : x
  2. Step 2: Convert to fraction form
    489,830.40/733,838.40 = 278,841.60/x
  3. Step 3: Cross multiply
    489,830.40x = 733,838.40 × 278,841.60
  4. Step 4: Simplify right side
    489,830.40x = 204,624,673,597.44
  5. Step 5: Solve for x
    x = 204,624,673,597.44/489,830.40
  6. Step 6: Final answer
    x = 417,745.97

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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.