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Finding the Fourth Proportional to 297,692.40, 446,611.48 and 148,003.20

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Solution

The fourth proportional to 297,692.40, 446,611.48 and 148,003.20 is: 222,041.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,692.40 : 446,611.48 = 148,003.20 : x
  2. Step 2: Convert to fraction form
    297,692.40/446,611.48 = 148,003.20/x
  3. Step 3: Cross multiply
    297,692.40x = 446,611.48 × 148,003.20
  4. Step 4: Simplify right side
    297,692.40x = 66,099,928,196.74
  5. Step 5: Solve for x
    x = 66,099,928,196.74/297,692.40
  6. Step 6: Final answer
    x = 222,041.03

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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.