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Finding the Fourth Proportional to 414,059.20, 620,935.20 and 164,689.60

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Solution

The fourth proportional to 414,059.20, 620,935.20 and 164,689.60 is: 246,973.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,059.20 : 620,935.20 = 164,689.60 : x
  2. Step 2: Convert to fraction form
    414,059.20/620,935.20 = 164,689.60/x
  3. Step 3: Cross multiply
    414,059.20x = 620,935.20 × 164,689.60
  4. Step 4: Simplify right side
    414,059.20x = 102,261,569,713.92
  5. Step 5: Solve for x
    x = 102,261,569,713.92/414,059.20
  6. Step 6: Final answer
    x = 246,973.31

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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.