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Finding the Fourth Proportional to 386,801.19, 533,777.24 and 214,709.20

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Solution

The fourth proportional to 386,801.19, 533,777.24 and 214,709.20 is: 296,294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,801.19 : 533,777.24 = 214,709.20 : x
  2. Step 2: Convert to fraction form
    386,801.19/533,777.24 = 214,709.20/x
  3. Step 3: Cross multiply
    386,801.19x = 533,777.24 × 214,709.20
  4. Step 4: Simplify right side
    386,801.19x = 114,606,883,380.94
  5. Step 5: Solve for x
    x = 114,606,883,380.94/386,801.19
  6. Step 6: Final answer
    x = 296,294.03

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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.