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Finding the Fourth Proportional to 383,314.80, 575,190.92 and 146,827.20

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Solution

The fourth proportional to 383,314.80, 575,190.92 and 146,827.20 is: 220,324.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,314.80 : 575,190.92 = 146,827.20 : x
  2. Step 2: Convert to fraction form
    383,314.80/575,190.92 = 146,827.20/x
  3. Step 3: Cross multiply
    383,314.80x = 575,190.92 × 146,827.20
  4. Step 4: Simplify right side
    383,314.80x = 84,453,672,249.02
  5. Step 5: Solve for x
    x = 84,453,672,249.02/383,314.80
  6. Step 6: Final answer
    x = 220,324.58

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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.