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Finding the Fourth Proportional to 428,140.80, 642,016.80 and 161,812.80

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Solution

The fourth proportional to 428,140.80, 642,016.80 and 161,812.80 is: 242,645.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,140.80 : 642,016.80 = 161,812.80 : x
  2. Step 2: Convert to fraction form
    428,140.80/642,016.80 = 161,812.80/x
  3. Step 3: Cross multiply
    428,140.80x = 642,016.80 × 161,812.80
  4. Step 4: Simplify right side
    428,140.80x = 103,886,536,055.04
  5. Step 5: Solve for x
    x = 103,886,536,055.04/428,140.80
  6. Step 6: Final answer
    x = 242,645.73

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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.