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Finding the Fourth Proportional to 300,501.62, 414,679.44 and 164,533.10

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Solution

The fourth proportional to 300,501.62, 414,679.44 and 164,533.10 is: 227,048.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,501.62 : 414,679.44 = 164,533.10 : x
  2. Step 2: Convert to fraction form
    300,501.62/414,679.44 = 164,533.10/x
  3. Step 3: Cross multiply
    300,501.62x = 414,679.44 × 164,533.10
  4. Step 4: Simplify right side
    300,501.62x = 68,228,493,769.46
  5. Step 5: Solve for x
    x = 68,228,493,769.46/300,501.62
  6. Step 6: Final answer
    x = 227,048.67

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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.