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Finding the Fourth Proportional to 300,416.16, 414,574.82 and 164,450.19

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Solution

The fourth proportional to 300,416.16, 414,574.82 and 164,450.19 is: 226,941.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,416.16 : 414,574.82 = 164,450.19 : x
  2. Step 2: Convert to fraction form
    300,416.16/414,574.82 = 164,450.19/x
  3. Step 3: Cross multiply
    300,416.16x = 414,574.82 × 164,450.19
  4. Step 4: Simplify right side
    300,416.16x = 68,176,907,095.96
  5. Step 5: Solve for x
    x = 68,176,907,095.96/300,416.16
  6. Step 6: Final answer
    x = 226,941.54

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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.