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Finding the Fourth Proportional to 414,804.28, 622,068.01 and 162,019.19

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Solution

The fourth proportional to 414,804.28, 622,068.01 and 162,019.19 is: 242,974.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,804.28 : 622,068.01 = 162,019.19 : x
  2. Step 2: Convert to fraction form
    414,804.28/622,068.01 = 162,019.19/x
  3. Step 3: Cross multiply
    414,804.28x = 622,068.01 × 162,019.19
  4. Step 4: Simplify right side
    414,804.28x = 100,786,955,105.11
  5. Step 5: Solve for x
    x = 100,786,955,105.11/414,804.28
  6. Step 6: Final answer
    x = 242,974.72

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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.