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Finding the Fourth Proportional to 383,627.57, 575,796.26 and 194,221.01

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Solution

The fourth proportional to 383,627.57, 575,796.26 and 194,221.01 is: 291,511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,627.57 : 575,796.26 = 194,221.01 : x
  2. Step 2: Convert to fraction form
    383,627.57/575,796.26 = 194,221.01/x
  3. Step 3: Cross multiply
    383,627.57x = 575,796.26 × 194,221.01
  4. Step 4: Simplify right side
    383,627.57x = 111,831,733,096.47
  5. Step 5: Solve for x
    x = 111,831,733,096.47/383,627.57
  6. Step 6: Final answer
    x = 291,511.20

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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.