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Finding the Fourth Proportional to 300,474.23, 414,638.65 and 164,482.11

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Solution

The fourth proportional to 300,474.23, 414,638.65 and 164,482.11 is: 226,976.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,474.23 : 414,638.65 = 164,482.11 : x
  2. Step 2: Convert to fraction form
    300,474.23/414,638.65 = 164,482.11/x
  3. Step 3: Cross multiply
    300,474.23x = 414,638.65 × 164,482.11
  4. Step 4: Simplify right side
    300,474.23x = 68,200,639,319.94
  5. Step 5: Solve for x
    x = 68,200,639,319.94/300,474.23
  6. Step 6: Final answer
    x = 226,976.67

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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.