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Finding the Fourth Proportional to 386,367.53, 533,179.25 and 214,257.72

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Solution

The fourth proportional to 386,367.53, 533,179.25 and 214,257.72 is: 295,671.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,367.53 : 533,179.25 = 214,257.72 : x
  2. Step 2: Convert to fraction form
    386,367.53/533,179.25 = 214,257.72/x
  3. Step 3: Cross multiply
    386,367.53x = 533,179.25 × 214,257.72
  4. Step 4: Simplify right side
    386,367.53x = 114,237,773,259.20
  5. Step 5: Solve for x
    x = 114,237,773,259.20/386,367.53
  6. Step 6: Final answer
    x = 295,671.25

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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.