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Finding the Fourth Proportional to 313,003.96, 431,955.24 and 177,035.24

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Solution

The fourth proportional to 313,003.96, 431,955.24 and 177,035.24 is: 244,314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,003.96 : 431,955.24 = 177,035.24 : x
  2. Step 2: Convert to fraction form
    313,003.96/431,955.24 = 177,035.24/x
  3. Step 3: Cross multiply
    313,003.96x = 431,955.24 × 177,035.24
  4. Step 4: Simplify right side
    313,003.96x = 76,471,299,582.66
  5. Step 5: Solve for x
    x = 76,471,299,582.66/313,003.96
  6. Step 6: Final answer
    x = 244,314.16

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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.