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Finding the Fourth Proportional to 274,858.28, 411,926.94 and 199,210.92

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Solution

The fourth proportional to 274,858.28, 411,926.94 and 199,210.92 is: 298,555.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,858.28 : 411,926.94 = 199,210.92 : x
  2. Step 2: Convert to fraction form
    274,858.28/411,926.94 = 199,210.92/x
  3. Step 3: Cross multiply
    274,858.28x = 411,926.94 × 199,210.92
  4. Step 4: Simplify right side
    274,858.28x = 82,060,344,690.18
  5. Step 5: Solve for x
    x = 82,060,344,690.18/274,858.28
  6. Step 6: Final answer
    x = 298,555.11

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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.