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Finding the Fourth Proportional to 414,189.94, 621,212.01 and 110,587.87

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Solution

The fourth proportional to 414,189.94, 621,212.01 and 110,587.87 is: 165,862.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,189.94 : 621,212.01 = 110,587.87 : x
  2. Step 2: Convert to fraction form
    414,189.94/621,212.01 = 110,587.87/x
  3. Step 3: Cross multiply
    414,189.94x = 621,212.01 × 110,587.87
  4. Step 4: Simplify right side
    414,189.94x = 68,698,513,004.32
  5. Step 5: Solve for x
    x = 68,698,513,004.32/414,189.94
  6. Step 6: Final answer
    x = 165,862.34

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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.