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Finding the Fourth Proportional to 513,190.86, 708,174.82 and 283,734.88

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Solution

The fourth proportional to 513,190.86, 708,174.82 and 283,734.88 is: 391,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,190.86 : 708,174.82 = 283,734.88 : x
  2. Step 2: Convert to fraction form
    513,190.86/708,174.82 = 283,734.88/x
  3. Step 3: Cross multiply
    513,190.86x = 708,174.82 × 283,734.88
  4. Step 4: Simplify right side
    513,190.86x = 200,933,897,571.72
  5. Step 5: Solve for x
    x = 200,933,897,571.72/513,190.86
  6. Step 6: Final answer
    x = 391,538.34

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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.