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Finding the Fourth Proportional to 298,226.80, 411,485.43 and 217,698.22

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Solution

The fourth proportional to 298,226.80, 411,485.43 and 217,698.22 is: 300,374.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,226.80 : 411,485.43 = 217,698.22 : x
  2. Step 2: Convert to fraction form
    298,226.80/411,485.43 = 217,698.22/x
  3. Step 3: Cross multiply
    298,226.80x = 411,485.43 × 217,698.22
  4. Step 4: Simplify right side
    298,226.80x = 89,579,645,666.93
  5. Step 5: Solve for x
    x = 89,579,645,666.93/298,226.80
  6. Step 6: Final answer
    x = 300,374.23

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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.