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Finding the Fourth Proportional to 428,256.14, 642,334.50 and 112,737.65

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Solution

The fourth proportional to 428,256.14, 642,334.50 and 112,737.65 is: 169,093.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,256.14 : 642,334.50 = 112,737.65 : x
  2. Step 2: Convert to fraction form
    428,256.14/642,334.50 = 112,737.65/x
  3. Step 3: Cross multiply
    428,256.14x = 642,334.50 × 112,737.65
  4. Step 4: Simplify right side
    428,256.14x = 72,415,278,832.25
  5. Step 5: Solve for x
    x = 72,415,278,832.25/428,256.14
  6. Step 6: Final answer
    x = 169,093.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.