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Finding the Fourth Proportional to 300,406.84, 414,524.78 and 239,308.64

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Solution

The fourth proportional to 300,406.84, 414,524.78 and 239,308.64 is: 330,216.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,406.84 : 414,524.78 = 239,308.64 : x
  2. Step 2: Convert to fraction form
    300,406.84/414,524.78 = 239,308.64/x
  3. Step 3: Cross multiply
    300,406.84x = 414,524.78 × 239,308.64
  4. Step 4: Simplify right side
    300,406.84x = 99,199,361,348.10
  5. Step 5: Solve for x
    x = 99,199,361,348.10/300,406.84
  6. Step 6: Final answer
    x = 330,216.72

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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.