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Finding the Fourth Proportional to 401,052.20, 601,664.70 and 120,597.80

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Solution

The fourth proportional to 401,052.20, 601,664.70 and 120,597.80 is: 180,922.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,052.20 : 601,664.70 = 120,597.80 : x
  2. Step 2: Convert to fraction form
    401,052.20/601,664.70 = 120,597.80/x
  3. Step 3: Cross multiply
    401,052.20x = 601,664.70 × 120,597.80
  4. Step 4: Simplify right side
    401,052.20x = 72,559,439,157.66
  5. Step 5: Solve for x
    x = 72,559,439,157.66/401,052.20
  6. Step 6: Final answer
    x = 180,922.68

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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.