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Finding the Fourth Proportional to 414,212.79, 621,318.14 and 114,692.37

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Solution

The fourth proportional to 414,212.79, 621,318.14 and 114,692.37 is: 172,038.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,212.79 : 621,318.14 = 114,692.37 : x
  2. Step 2: Convert to fraction form
    414,212.79/621,318.14 = 114,692.37/x
  3. Step 3: Cross multiply
    414,212.79x = 621,318.14 × 114,692.37
  4. Step 4: Simplify right side
    414,212.79x = 71,260,450,000.59
  5. Step 5: Solve for x
    x = 71,260,450,000.59/414,212.79
  6. Step 6: Final answer
    x = 172,038.27

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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.