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Finding the Fourth Proportional to 222,692.50, 334,058.22 and 56,480.50

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Solution

The fourth proportional to 222,692.50, 334,058.22 and 56,480.50 is: 84,725.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,692.50 : 334,058.22 = 56,480.50 : x
  2. Step 2: Convert to fraction form
    222,692.50/334,058.22 = 56,480.50/x
  3. Step 3: Cross multiply
    222,692.50x = 334,058.22 × 56,480.50
  4. Step 4: Simplify right side
    222,692.50x = 18,867,775,294.71
  5. Step 5: Solve for x
    x = 18,867,775,294.71/222,692.50
  6. Step 6: Final answer
    x = 84,725.69

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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.