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Finding the Fourth Proportional to 300,233.94, 414,319.12 and 164,266.18

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Solution

The fourth proportional to 300,233.94, 414,319.12 and 164,266.18 is: 226,685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,233.94 : 414,319.12 = 164,266.18 : x
  2. Step 2: Convert to fraction form
    300,233.94/414,319.12 = 164,266.18/x
  3. Step 3: Cross multiply
    300,233.94x = 414,319.12 × 164,266.18
  4. Step 4: Simplify right side
    300,233.94x = 68,058,619,143.36
  5. Step 5: Solve for x
    x = 68,058,619,143.36/300,233.94
  6. Step 6: Final answer
    x = 226,685.29

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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.