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Finding the Fourth Proportional to 541,060.48, 811,692.78 and 166,996

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Solution

The fourth proportional to 541,060.48, 811,692.78 and 166,996 is: 250,525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,060.48 : 811,692.78 = 166,996 : x
  2. Step 2: Convert to fraction form
    541,060.48/811,692.78 = 166,996/x
  3. Step 3: Cross multiply
    541,060.48x = 811,692.78 × 166,996
  4. Step 4: Simplify right side
    541,060.48x = 135,549,447,488.88
  5. Step 5: Solve for x
    x = 135,549,447,488.88/541,060.48
  6. Step 6: Final answer
    x = 250,525.50

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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.