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Finding the Fourth Proportional to 305,226.80, 457,451.40 and 222,023.60

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Solution

The fourth proportional to 305,226.80, 457,451.40 and 222,023.60 is: 332,752.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,226.80 : 457,451.40 = 222,023.60 : x
  2. Step 2: Convert to fraction form
    305,226.80/457,451.40 = 222,023.60/x
  3. Step 3: Cross multiply
    305,226.80x = 457,451.40 × 222,023.60
  4. Step 4: Simplify right side
    305,226.80x = 101,565,006,653.04
  5. Step 5: Solve for x
    x = 101,565,006,653.04/305,226.80
  6. Step 6: Final answer
    x = 332,752.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.