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Finding the Fourth Proportional to 295,853, 408,277.14 and 161,717

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Solution

The fourth proportional to 295,853, 408,277.14 and 161,717 is: 223,169.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,853 : 408,277.14 = 161,717 : x
  2. Step 2: Convert to fraction form
    295,853/408,277.14 = 161,717/x
  3. Step 3: Cross multiply
    295,853x = 408,277.14 × 161,717
  4. Step 4: Simplify right side
    295,853x = 66,025,354,249.38
  5. Step 5: Solve for x
    x = 66,025,354,249.38/295,853
  6. Step 6: Final answer
    x = 223,169.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.