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Finding the Fourth Proportional to 383,969.10, 529,877.58 and 214,203.23

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Solution

The fourth proportional to 383,969.10, 529,877.58 and 214,203.23 is: 295,600.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,969.10 : 529,877.58 = 214,203.23 : x
  2. Step 2: Convert to fraction form
    383,969.10/529,877.58 = 214,203.23/x
  3. Step 3: Cross multiply
    383,969.10x = 529,877.58 × 214,203.23
  4. Step 4: Simplify right side
    383,969.10x = 113,501,486,491.20
  5. Step 5: Solve for x
    x = 113,501,486,491.20/383,969.10
  6. Step 6: Final answer
    x = 295,600.57

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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.