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Finding the Fourth Proportional to 381,692.40, 572,538.60 and 241,609.20

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Solution

The fourth proportional to 381,692.40, 572,538.60 and 241,609.20 is: 362,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,692.40 : 572,538.60 = 241,609.20 : x
  2. Step 2: Convert to fraction form
    381,692.40/572,538.60 = 241,609.20/x
  3. Step 3: Cross multiply
    381,692.40x = 572,538.60 × 241,609.20
  4. Step 4: Simplify right side
    381,692.40x = 138,330,593,115.12
  5. Step 5: Solve for x
    x = 138,330,593,115.12/381,692.40
  6. Step 6: Final answer
    x = 362,413.80

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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.