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Finding the Fourth Proportional to 428,597.46, 642,833.01 and 113,076.54

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Solution

The fourth proportional to 428,597.46, 642,833.01 and 113,076.54 is: 169,598.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,597.46 : 642,833.01 = 113,076.54 : x
  2. Step 2: Convert to fraction form
    428,597.46/642,833.01 = 113,076.54/x
  3. Step 3: Cross multiply
    428,597.46x = 642,833.01 × 113,076.54
  4. Step 4: Simplify right side
    428,597.46x = 72,689,332,568.59
  5. Step 5: Solve for x
    x = 72,689,332,568.59/428,597.46
  6. Step 6: Final answer
    x = 169,598.14

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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.