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Finding the Fourth Proportional to 395,116.35, 545,261.96 and 213,828.24

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Solution

The fourth proportional to 395,116.35, 545,261.96 and 213,828.24 is: 295,083.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,116.35 : 545,261.96 = 213,828.24 : x
  2. Step 2: Convert to fraction form
    395,116.35/545,261.96 = 213,828.24/x
  3. Step 3: Cross multiply
    395,116.35x = 545,261.96 × 213,828.24
  4. Step 4: Simplify right side
    395,116.35x = 116,592,407,825.05
  5. Step 5: Solve for x
    x = 116,592,407,825.05/395,116.35
  6. Step 6: Final answer
    x = 295,083.74

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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.