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Finding the Fourth Proportional to 414,737.10, 622,347.60 and 174,836.42

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Solution

The fourth proportional to 414,737.10, 622,347.60 and 174,836.42 is: 262,356.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,737.10 : 622,347.60 = 174,836.42 : x
  2. Step 2: Convert to fraction form
    414,737.10/622,347.60 = 174,836.42/x
  3. Step 3: Cross multiply
    414,737.10x = 622,347.60 × 174,836.42
  4. Step 4: Simplify right side
    414,737.10x = 108,809,026,379.59
  5. Step 5: Solve for x
    x = 108,809,026,379.59/414,737.10
  6. Step 6: Final answer
    x = 262,356.63

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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.