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Finding the Fourth Proportional to 300,616.32, 414,855.36 and 166,483.20

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Solution

The fourth proportional to 300,616.32, 414,855.36 and 166,483.20 is: 229,749.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,616.32 : 414,855.36 = 166,483.20 : x
  2. Step 2: Convert to fraction form
    300,616.32/414,855.36 = 166,483.20/x
  3. Step 3: Cross multiply
    300,616.32x = 414,855.36 × 166,483.20
  4. Step 4: Simplify right side
    300,616.32x = 69,066,447,869.95
  5. Step 5: Solve for x
    x = 69,066,447,869.95/300,616.32
  6. Step 6: Final answer
    x = 229,749.50

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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.