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Finding the Fourth Proportional to 298,951.10, 412,553.81 and 191,583.41

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Solution

The fourth proportional to 298,951.10, 412,553.81 and 191,583.41 is: 264,385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,951.10 : 412,553.81 = 191,583.41 : x
  2. Step 2: Convert to fraction form
    298,951.10/412,553.81 = 191,583.41/x
  3. Step 3: Cross multiply
    298,951.10x = 412,553.81 × 191,583.41
  4. Step 4: Simplify right side
    298,951.10x = 79,038,464,770.38
  5. Step 5: Solve for x
    x = 79,038,464,770.38/298,951.10
  6. Step 6: Final answer
    x = 264,385.93

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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.