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Finding the Fourth Proportional to 313,019.37, 431,938.17 and 177,065.73

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Solution

The fourth proportional to 313,019.37, 431,938.17 and 177,065.73 is: 244,334.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,019.37 : 431,938.17 = 177,065.73 : x
  2. Step 2: Convert to fraction form
    313,019.37/431,938.17 = 177,065.73/x
  3. Step 3: Cross multiply
    313,019.37x = 431,938.17 × 177,065.73
  4. Step 4: Simplify right side
    313,019.37x = 76,481,447,385.91
  5. Step 5: Solve for x
    x = 76,481,447,385.91/313,019.37
  6. Step 6: Final answer
    x = 244,334.55

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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.