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Finding the Fourth Proportional to 383,618.80, 574,942.20 and 146,645.20

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Solution

The fourth proportional to 383,618.80, 574,942.20 and 146,645.20 is: 219,782.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,618.80 : 574,942.20 = 146,645.20 : x
  2. Step 2: Convert to fraction form
    383,618.80/574,942.20 = 146,645.20/x
  3. Step 3: Cross multiply
    383,618.80x = 574,942.20 × 146,645.20
  4. Step 4: Simplify right side
    383,618.80x = 84,312,513,907.44
  5. Step 5: Solve for x
    x = 84,312,513,907.44/383,618.80
  6. Step 6: Final answer
    x = 219,782.02

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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.