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Finding the Fourth Proportional to 489,205.80, 733,480.65 and 222,829.20

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Solution

The fourth proportional to 489,205.80, 733,480.65 and 222,829.20 is: 334,094.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,205.80 : 733,480.65 = 222,829.20 : x
  2. Step 2: Convert to fraction form
    489,205.80/733,480.65 = 222,829.20/x
  3. Step 3: Cross multiply
    489,205.80x = 733,480.65 × 222,829.20
  4. Step 4: Simplify right side
    489,205.80x = 163,440,906,454.98
  5. Step 5: Solve for x
    x = 163,440,906,454.98/489,205.80
  6. Step 6: Final answer
    x = 334,094.38

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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.