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Finding the Fourth Proportional to 361,837, 499,331.70 and 200,692.36

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Solution

The fourth proportional to 361,837, 499,331.70 and 200,692.36 is: 276,953.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,837 : 499,331.70 = 200,692.36 : x
  2. Step 2: Convert to fraction form
    361,837/499,331.70 = 200,692.36/x
  3. Step 3: Cross multiply
    361,837x = 499,331.70 × 200,692.36
  4. Step 4: Simplify right side
    361,837x = 100,212,057,295.81
  5. Step 5: Solve for x
    x = 100,212,057,295.81/361,837
  6. Step 6: Final answer
    x = 276,953.59

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1.5x scale

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.