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Finding the Fourth Proportional to 383,902.11, 529,796.21 and 214,132.59

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Solution

The fourth proportional to 383,902.11, 529,796.21 and 214,132.59 is: 295,509.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,902.11 : 529,796.21 = 214,132.59 : x
  2. Step 2: Convert to fraction form
    383,902.11/529,796.21 = 214,132.59/x
  3. Step 3: Cross multiply
    383,902.11x = 529,796.21 × 214,132.59
  4. Step 4: Simplify right side
    383,902.11x = 113,446,633,548.82
  5. Step 5: Solve for x
    x = 113,446,633,548.82/383,902.11
  6. Step 6: Final answer
    x = 295,509.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.