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Finding the Fourth Proportional to 299,655, 413,523.90 and 172,327.86

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Solution

The fourth proportional to 299,655, 413,523.90 and 172,327.86 is: 237,812.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,655 : 413,523.90 = 172,327.86 : x
  2. Step 2: Convert to fraction form
    299,655/413,523.90 = 172,327.86/x
  3. Step 3: Cross multiply
    299,655x = 413,523.90 × 172,327.86
  4. Step 4: Simplify right side
    299,655x = 71,261,688,745.85
  5. Step 5: Solve for x
    x = 71,261,688,745.85/299,655
  6. Step 6: Final answer
    x = 237,812.45

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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.