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Finding the Fourth Proportional to 383,472.36, 529,192.44 and 213,702.84

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Solution

The fourth proportional to 383,472.36, 529,192.44 and 213,702.84 is: 294,910.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,472.36 : 529,192.44 = 213,702.84 : x
  2. Step 2: Convert to fraction form
    383,472.36/529,192.44 = 213,702.84/x
  3. Step 3: Cross multiply
    383,472.36x = 529,192.44 × 213,702.84
  4. Step 4: Simplify right side
    383,472.36x = 113,089,927,334.53
  5. Step 5: Solve for x
    x = 113,089,927,334.53/383,472.36
  6. Step 6: Final answer
    x = 294,910.24

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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.