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Finding the Fourth Proportional to 300,400.94, 414,553.01 and 164,433.67

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Solution

The fourth proportional to 300,400.94, 414,553.01 and 164,433.67 is: 226,918.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,400.94 : 414,553.01 = 164,433.67 : x
  2. Step 2: Convert to fraction form
    300,400.94/414,553.01 = 164,433.67/x
  3. Step 3: Cross multiply
    300,400.94x = 414,553.01 × 164,433.67
  4. Step 4: Simplify right side
    300,400.94x = 68,166,470,985.30
  5. Step 5: Solve for x
    x = 68,166,470,985.30/300,400.94
  6. Step 6: Final answer
    x = 226,918.30

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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.