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Finding the Fourth Proportional to 419,662, 579,133.83 and 228,675.34

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Solution

The fourth proportional to 419,662, 579,133.83 and 228,675.34 is: 315,572.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,662 : 579,133.83 = 228,675.34 : x
  2. Step 2: Convert to fraction form
    419,662/579,133.83 = 228,675.34/x
  3. Step 3: Cross multiply
    419,662x = 579,133.83 × 228,675.34
  4. Step 4: Simplify right side
    419,662x = 132,433,625,480.75
  5. Step 5: Solve for x
    x = 132,433,625,480.75/419,662
  6. Step 6: Final answer
    x = 315,572.12

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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.