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Finding the Fourth Proportional to 298,735.13, 412,066.10 and 177,786.14

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Solution

The fourth proportional to 298,735.13, 412,066.10 and 177,786.14 is: 245,232.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,735.13 : 412,066.10 = 177,786.14 : x
  2. Step 2: Convert to fraction form
    298,735.13/412,066.10 = 177,786.14/x
  3. Step 3: Cross multiply
    298,735.13x = 412,066.10 × 177,786.14
  4. Step 4: Simplify right side
    298,735.13x = 73,259,639,727.99
  5. Step 5: Solve for x
    x = 73,259,639,727.99/298,735.13
  6. Step 6: Final answer
    x = 245,232.76

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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.