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Finding the Fourth Proportional to 383,522.80, 574,798.20 and 146,549.20

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Solution

The fourth proportional to 383,522.80, 574,798.20 and 146,549.20 is: 219,638.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,522.80 : 574,798.20 = 146,549.20 : x
  2. Step 2: Convert to fraction form
    383,522.80/574,798.20 = 146,549.20/x
  3. Step 3: Cross multiply
    383,522.80x = 574,798.20 × 146,549.20
  4. Step 4: Simplify right side
    383,522.80x = 84,236,216,371.44
  5. Step 5: Solve for x
    x = 84,236,216,371.44/383,522.80
  6. Step 6: Final answer
    x = 219,638.09

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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.