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Finding the Fourth Proportional to 383,609.80, 574,928.70 and 146,636.20

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Solution

The fourth proportional to 383,609.80, 574,928.70 and 146,636.20 is: 219,768.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,609.80 : 574,928.70 = 146,636.20 : x
  2. Step 2: Convert to fraction form
    383,609.80/574,928.70 = 146,636.20/x
  3. Step 3: Cross multiply
    383,609.80x = 574,928.70 × 146,636.20
  4. Step 4: Simplify right side
    383,609.80x = 84,305,359,838.94
  5. Step 5: Solve for x
    x = 84,305,359,838.94/383,609.80
  6. Step 6: Final answer
    x = 219,768.52

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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.