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Finding the Fourth Proportional to 286,538.16, 395,321.62 and 163,941

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Solution

The fourth proportional to 286,538.16, 395,321.62 and 163,941 is: 226,180.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,538.16 : 395,321.62 = 163,941 : x
  2. Step 2: Convert to fraction form
    286,538.16/395,321.62 = 163,941/x
  3. Step 3: Cross multiply
    286,538.16x = 395,321.62 × 163,941
  4. Step 4: Simplify right side
    286,538.16x = 64,809,421,704.42
  5. Step 5: Solve for x
    x = 64,809,421,704.42/286,538.16
  6. Step 6: Final answer
    x = 226,180.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.