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Finding the Fourth Proportional to 300,328.50, 414,453.26 and 164,362.50

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Solution

The fourth proportional to 300,328.50, 414,453.26 and 164,362.50 is: 226,820.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,328.50 : 414,453.26 = 164,362.50 : x
  2. Step 2: Convert to fraction form
    300,328.50/414,453.26 = 164,362.50/x
  3. Step 3: Cross multiply
    300,328.50x = 414,453.26 × 164,362.50
  4. Step 4: Simplify right side
    300,328.50x = 68,120,573,946.75
  5. Step 5: Solve for x
    x = 68,120,573,946.75/300,328.50
  6. Step 6: Final answer
    x = 226,820.21

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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.