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Finding the Fourth Proportional to 383,866.80, 575,314.20 and 146,893.20

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Solution

The fourth proportional to 383,866.80, 575,314.20 and 146,893.20 is: 220,153.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,866.80 : 575,314.20 = 146,893.20 : x
  2. Step 2: Convert to fraction form
    383,866.80/575,314.20 = 146,893.20/x
  3. Step 3: Cross multiply
    383,866.80x = 575,314.20 × 146,893.20
  4. Step 4: Simplify right side
    383,866.80x = 84,509,743,843.44
  5. Step 5: Solve for x
    x = 84,509,743,843.44/383,866.80
  6. Step 6: Final answer
    x = 220,153.82

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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.