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Finding the Fourth Proportional to 383,714.85, 575,244.05 and 147,227.25

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Solution

The fourth proportional to 383,714.85, 575,244.05 and 147,227.25 is: 220,714.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,714.85 : 575,244.05 = 147,227.25 : x
  2. Step 2: Convert to fraction form
    383,714.85/575,244.05 = 147,227.25/x
  3. Step 3: Cross multiply
    383,714.85x = 575,244.05 × 147,227.25
  4. Step 4: Simplify right side
    383,714.85x = 84,691,598,824.23
  5. Step 5: Solve for x
    x = 84,691,598,824.23/383,714.85
  6. Step 6: Final answer
    x = 220,714.94

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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.