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Finding the Fourth Proportional to 300,480.96, 414,647.30 and 164,488.60

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Solution

The fourth proportional to 300,480.96, 414,647.30 and 164,488.60 is: 226,985.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,480.96 : 414,647.30 = 164,488.60 : x
  2. Step 2: Convert to fraction form
    300,480.96/414,647.30 = 164,488.60/x
  3. Step 3: Cross multiply
    300,480.96x = 414,647.30 × 164,488.60
  4. Step 4: Simplify right side
    300,480.96x = 68,204,755,577.77
  5. Step 5: Solve for x
    x = 68,204,755,577.77/300,480.96
  6. Step 6: Final answer
    x = 226,985.28

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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.