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Finding the Fourth Proportional to 281,692.46, 422,960.80 and 243,858.41

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Solution

The fourth proportional to 281,692.46, 422,960.80 and 243,858.41 is: 366,153.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,692.46 : 422,960.80 = 243,858.41 : x
  2. Step 2: Convert to fraction form
    281,692.46/422,960.80 = 243,858.41/x
  3. Step 3: Cross multiply
    281,692.46x = 422,960.80 × 243,858.41
  4. Step 4: Simplify right side
    281,692.46x = 103,142,549,878.37
  5. Step 5: Solve for x
    x = 103,142,549,878.37/281,692.46
  6. Step 6: Final answer
    x = 366,153.03

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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.