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Finding the Fourth Proportional to 428,735.41, 642,542.50 and 175,719.67

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Solution

The fourth proportional to 428,735.41, 642,542.50 and 175,719.67 is: 263,349.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,735.41 : 642,542.50 = 175,719.67 : x
  2. Step 2: Convert to fraction form
    428,735.41/642,542.50 = 175,719.67/x
  3. Step 3: Cross multiply
    428,735.41x = 642,542.50 × 175,719.67
  4. Step 4: Simplify right side
    428,735.41x = 112,907,356,060.98
  5. Step 5: Solve for x
    x = 112,907,356,060.98/428,735.41
  6. Step 6: Final answer
    x = 263,349.73

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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.