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Finding the Fourth Proportional to 414,692.08, 571,751.94 and 271,224.88

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Solution

The fourth proportional to 414,692.08, 571,751.94 and 271,224.88 is: 373,948.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,692.08 : 571,751.94 = 271,224.88 : x
  2. Step 2: Convert to fraction form
    414,692.08/571,751.94 = 271,224.88/x
  3. Step 3: Cross multiply
    414,692.08x = 571,751.94 × 271,224.88
  4. Step 4: Simplify right side
    414,692.08x = 155,073,351,316.27
  5. Step 5: Solve for x
    x = 155,073,351,316.27/414,692.08
  6. Step 6: Final answer
    x = 373,948.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.