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Finding the Fourth Proportional to 300,001.16, 414,014.46 and 164,027

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Solution

The fourth proportional to 300,001.16, 414,014.46 and 164,027 is: 226,364.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,001.16 : 414,014.46 = 164,027 : x
  2. Step 2: Convert to fraction form
    300,001.16/414,014.46 = 164,027/x
  3. Step 3: Cross multiply
    300,001.16x = 414,014.46 × 164,027
  4. Step 4: Simplify right side
    300,001.16x = 67,909,549,830.42
  5. Step 5: Solve for x
    x = 67,909,549,830.42/300,001.16
  6. Step 6: Final answer
    x = 226,364.29

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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.