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Finding the Fourth Proportional to 313,882.41, 433,197.59 and 177,938.49

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Solution

The fourth proportional to 313,882.41, 433,197.59 and 177,938.49 is: 245,577.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,882.41 : 433,197.59 = 177,938.49 : x
  2. Step 2: Convert to fraction form
    313,882.41/433,197.59 = 177,938.49/x
  3. Step 3: Cross multiply
    313,882.41x = 433,197.59 × 177,938.49
  4. Step 4: Simplify right side
    313,882.41x = 77,082,524,146.55
  5. Step 5: Solve for x
    x = 77,082,524,146.55/313,882.41
  6. Step 6: Final answer
    x = 245,577.71

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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.