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Finding the Fourth Proportional to 428,714.40, 642,906.84 and 203,901.60

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Solution

The fourth proportional to 428,714.40, 642,906.84 and 203,901.60 is: 305,774.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,714.40 : 642,906.84 = 203,901.60 : x
  2. Step 2: Convert to fraction form
    428,714.40/642,906.84 = 203,901.60/x
  3. Step 3: Cross multiply
    428,714.40x = 642,906.84 × 203,901.60
  4. Step 4: Simplify right side
    428,714.40x = 131,089,733,326.94
  5. Step 5: Solve for x
    x = 131,089,733,326.94/428,714.40
  6. Step 6: Final answer
    x = 305,774.04

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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.