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Finding the Fourth Proportional to 384,032.26, 529,964.56 and 214,266.40

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Solution

The fourth proportional to 384,032.26, 529,964.56 and 214,266.40 is: 295,687.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,032.26 : 529,964.56 = 214,266.40 : x
  2. Step 2: Convert to fraction form
    384,032.26/529,964.56 = 214,266.40/x
  3. Step 3: Cross multiply
    384,032.26x = 529,964.56 × 214,266.40
  4. Step 4: Simplify right side
    384,032.26x = 113,553,598,398.78
  5. Step 5: Solve for x
    x = 113,553,598,398.78/384,032.26
  6. Step 6: Final answer
    x = 295,687.65

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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.