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Finding the Fourth Proportional to 419,173.64, 628,754.22 and 103,630.46

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Solution

The fourth proportional to 419,173.64, 628,754.22 and 103,630.46 is: 155,444.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,173.64 : 628,754.22 = 103,630.46 : x
  2. Step 2: Convert to fraction form
    419,173.64/628,754.22 = 103,630.46/x
  3. Step 3: Cross multiply
    419,173.64x = 628,754.22 × 103,630.46
  4. Step 4: Simplify right side
    419,173.64x = 65,158,089,045.54
  5. Step 5: Solve for x
    x = 65,158,089,045.54/419,173.64
  6. Step 6: Final answer
    x = 155,444.15

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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.