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Finding the Fourth Proportional to 414,911.10, 622,366.65 and 414,911.10

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Solution

The fourth proportional to 414,911.10, 622,366.65 and 414,911.10 is: 622,366.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,911.10 : 622,366.65 = 414,911.10 : x
  2. Step 2: Convert to fraction form
    414,911.10/622,366.65 = 414,911.10/x
  3. Step 3: Cross multiply
    414,911.10x = 622,366.65 × 414,911.10
  4. Step 4: Simplify right side
    414,911.10x = 258,226,831,354.82
  5. Step 5: Solve for x
    x = 258,226,831,354.82/414,911.10
  6. Step 6: Final answer
    x = 622,366.65

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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.