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Finding the Fourth Proportional to 416,245.19, 623,361.75 and 238,212.47

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Solution

The fourth proportional to 416,245.19, 623,361.75 and 238,212.47 is: 356,742.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,245.19 : 623,361.75 = 238,212.47 : x
  2. Step 2: Convert to fraction form
    416,245.19/623,361.75 = 238,212.47/x
  3. Step 3: Cross multiply
    416,245.19x = 623,361.75 × 238,212.47
  4. Step 4: Simplify right side
    416,245.19x = 148,492,542,171.02
  5. Step 5: Solve for x
    x = 148,492,542,171.02/416,245.19
  6. Step 6: Final answer
    x = 356,742.96

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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.