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Finding the Fourth Proportional to 428,598.96, 642,835.26 and 113,078.04

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Solution

The fourth proportional to 428,598.96, 642,835.26 and 113,078.04 is: 169,600.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,598.96 : 642,835.26 = 113,078.04 : x
  2. Step 2: Convert to fraction form
    428,598.96/642,835.26 = 113,078.04/x
  3. Step 3: Cross multiply
    428,598.96x = 642,835.26 × 113,078.04
  4. Step 4: Simplify right side
    428,598.96x = 72,690,551,243.69
  5. Step 5: Solve for x
    x = 72,690,551,243.69/428,598.96
  6. Step 6: Final answer
    x = 169,600.39

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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.