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Finding the Fourth Proportional to 419,715.09, 579,189.96 and 228,724.38

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Solution

The fourth proportional to 419,715.09, 579,189.96 and 228,724.38 is: 315,630.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,715.09 : 579,189.96 = 228,724.38 : x
  2. Step 2: Convert to fraction form
    419,715.09/579,189.96 = 228,724.38/x
  3. Step 3: Cross multiply
    419,715.09x = 579,189.96 × 228,724.38
  4. Step 4: Simplify right side
    419,715.09x = 132,474,864,503.23
  5. Step 5: Solve for x
    x = 132,474,864,503.23/419,715.09
  6. Step 6: Final answer
    x = 315,630.45

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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.