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Finding the Fourth Proportional to 383,852.43, 575,778.65 and 196,744.59

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Solution

The fourth proportional to 383,852.43, 575,778.65 and 196,744.59 is: 295,116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,852.43 : 575,778.65 = 196,744.59 : x
  2. Step 2: Convert to fraction form
    383,852.43/575,778.65 = 196,744.59/x
  3. Step 3: Cross multiply
    383,852.43x = 575,778.65 × 196,744.59
  4. Step 4: Simplify right side
    383,852.43x = 113,281,333,441.28
  5. Step 5: Solve for x
    x = 113,281,333,441.28/383,852.43
  6. Step 6: Final answer
    x = 295,116.89

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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.