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Finding the Fourth Proportional to 383,858.13, 529,720.56 and 211,777.47

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Solution

The fourth proportional to 383,858.13, 529,720.56 and 211,777.47 is: 292,250.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,858.13 : 529,720.56 = 211,777.47 : x
  2. Step 2: Convert to fraction form
    383,858.13/529,720.56 = 211,777.47/x
  3. Step 3: Cross multiply
    383,858.13x = 529,720.56 × 211,777.47
  4. Step 4: Simplify right side
    383,858.13x = 112,182,880,003.78
  5. Step 5: Solve for x
    x = 112,182,880,003.78/383,858.13
  6. Step 6: Final answer
    x = 292,250.89

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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.