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Finding the Fourth Proportional to 313,004.96, 431,956.62 and 177,036.24

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Solution

The fourth proportional to 313,004.96, 431,956.62 and 177,036.24 is: 244,315.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,004.96 : 431,956.62 = 177,036.24 : x
  2. Step 2: Convert to fraction form
    313,004.96/431,956.62 = 177,036.24/x
  3. Step 3: Cross multiply
    313,004.96x = 431,956.62 × 177,036.24
  4. Step 4: Simplify right side
    313,004.96x = 76,471,975,847.91
  5. Step 5: Solve for x
    x = 76,471,975,847.91/313,004.96
  6. Step 6: Final answer
    x = 244,315.54

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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.