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Finding the Fourth Proportional to 383,906.44, 575,970.33 and 117,706.22

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Solution

The fourth proportional to 383,906.44, 575,970.33 and 117,706.22 is: 176,593.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,906.44 : 575,970.33 = 117,706.22 : x
  2. Step 2: Convert to fraction form
    383,906.44/575,970.33 = 117,706.22/x
  3. Step 3: Cross multiply
    383,906.44x = 575,970.33 × 117,706.22
  4. Step 4: Simplify right side
    383,906.44x = 67,795,290,376.45
  5. Step 5: Solve for x
    x = 67,795,290,376.45/383,906.44
  6. Step 6: Final answer
    x = 176,593.26

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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.