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Finding the Fourth Proportional to 300,299.74, 414,413.70 and 164,333.72

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Solution

The fourth proportional to 300,299.74, 414,413.70 and 164,333.72 is: 226,780.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,299.74 : 414,413.70 = 164,333.72 : x
  2. Step 2: Convert to fraction form
    300,299.74/414,413.70 = 164,333.72/x
  3. Step 3: Cross multiply
    300,299.74x = 414,413.70 × 164,333.72
  4. Step 4: Simplify right side
    300,299.74x = 68,102,144,939.96
  5. Step 5: Solve for x
    x = 68,102,144,939.96/300,299.74
  6. Step 6: Final answer
    x = 226,780.57

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1.5x scale

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.