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Finding the Fourth Proportional to 414,800.20, 622,200.30 and 148,569.40

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Solution

The fourth proportional to 414,800.20, 622,200.30 and 148,569.40 is: 222,854.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,800.20 : 622,200.30 = 148,569.40 : x
  2. Step 2: Convert to fraction form
    414,800.20/622,200.30 = 148,569.40/x
  3. Step 3: Cross multiply
    414,800.20x = 622,200.30 × 148,569.40
  4. Step 4: Simplify right side
    414,800.20x = 92,439,925,250.82
  5. Step 5: Solve for x
    x = 92,439,925,250.82/414,800.20
  6. Step 6: Final answer
    x = 222,854.10

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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.