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Finding the Fourth Proportional to 298,014.19, 411,091.25 and 177,194.44

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Solution

The fourth proportional to 298,014.19, 411,091.25 and 177,194.44 is: 244,428.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,014.19 : 411,091.25 = 177,194.44 : x
  2. Step 2: Convert to fraction form
    298,014.19/411,091.25 = 177,194.44/x
  3. Step 3: Cross multiply
    298,014.19x = 411,091.25 × 177,194.44
  4. Step 4: Simplify right side
    298,014.19x = 72,843,083,832.65
  5. Step 5: Solve for x
    x = 72,843,083,832.65/298,014.19
  6. Step 6: Final answer
    x = 244,428.24

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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.