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Finding the Fourth Proportional to 483,251.28, 724,692.33 and 158,964

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Solution

The fourth proportional to 483,251.28, 724,692.33 and 158,964 is: 238,385.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,251.28 : 724,692.33 = 158,964 : x
  2. Step 2: Convert to fraction form
    483,251.28/724,692.33 = 158,964/x
  3. Step 3: Cross multiply
    483,251.28x = 724,692.33 × 158,964
  4. Step 4: Simplify right side
    483,251.28x = 115,199,991,546.12
  5. Step 5: Solve for x
    x = 115,199,991,546.12/483,251.28
  6. Step 6: Final answer
    x = 238,385.28

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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.