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Finding the Fourth Proportional to 298,638.72, 412,121.99 and 177,784.20

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Solution

The fourth proportional to 298,638.72, 412,121.99 and 177,784.20 is: 245,342.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,638.72 : 412,121.99 = 177,784.20 : x
  2. Step 2: Convert to fraction form
    298,638.72/412,121.99 = 177,784.20/x
  3. Step 3: Cross multiply
    298,638.72x = 412,121.99 × 177,784.20
  4. Step 4: Simplify right side
    298,638.72x = 73,268,778,739.02
  5. Step 5: Solve for x
    x = 73,268,778,739.02/298,638.72
  6. Step 6: Final answer
    x = 245,342.53

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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.