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Finding the Fourth Proportional to 386,261.75, 533,047.59 and 214,186.97

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Solution

The fourth proportional to 386,261.75, 533,047.59 and 214,186.97 is: 295,581.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,261.75 : 533,047.59 = 214,186.97 : x
  2. Step 2: Convert to fraction form
    386,261.75/533,047.59 = 214,186.97/x
  3. Step 3: Cross multiply
    386,261.75x = 533,047.59 × 214,186.97
  4. Step 4: Simplify right side
    386,261.75x = 114,171,845,502.66
  5. Step 5: Solve for x
    x = 114,171,845,502.66/386,261.75
  6. Step 6: Final answer
    x = 295,581.55

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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.