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Finding the Fourth Proportional to 414,910.10, 622,365.15 and 414,910.10

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Solution

The fourth proportional to 414,910.10, 622,365.15 and 414,910.10 is: 622,365.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,910.10 : 622,365.15 = 414,910.10 : x
  2. Step 2: Convert to fraction form
    414,910.10/622,365.15 = 414,910.10/x
  3. Step 3: Cross multiply
    414,910.10x = 622,365.15 × 414,910.10
  4. Step 4: Simplify right side
    414,910.10x = 258,225,586,623.02
  5. Step 5: Solve for x
    x = 258,225,586,623.02/414,910.10
  6. Step 6: Final answer
    x = 622,365.15

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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.