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Finding the Fourth Proportional to 419,715.47, 579,190.46 and 228,724.76

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Solution

The fourth proportional to 419,715.47, 579,190.46 and 228,724.76 is: 315,630.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,715.47 : 579,190.46 = 228,724.76 : x
  2. Step 2: Convert to fraction form
    419,715.47/579,190.46 = 228,724.76/x
  3. Step 3: Cross multiply
    419,715.47x = 579,190.46 × 228,724.76
  4. Step 4: Simplify right side
    419,715.47x = 132,475,194,918.21
  5. Step 5: Solve for x
    x = 132,475,194,918.21/419,715.47
  6. Step 6: Final answer
    x = 315,630.96

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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.