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Finding the Fourth Proportional to 414,977.10, 622,465.65 and 414,977.10

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Solution

The fourth proportional to 414,977.10, 622,465.65 and 414,977.10 is: 622,465.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,977.10 : 622,465.65 = 414,977.10 : x
  2. Step 2: Convert to fraction form
    414,977.10/622,465.65 = 414,977.10/x
  3. Step 3: Cross multiply
    414,977.10x = 622,465.65 × 414,977.10
  4. Step 4: Simplify right side
    414,977.10x = 258,308,990,286.62
  5. Step 5: Solve for x
    x = 258,308,990,286.62/414,977.10
  6. Step 6: Final answer
    x = 622,465.65

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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.