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Finding the Fourth Proportional to 306,522.88, 422,938.18 and 179,173.84

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Solution

The fourth proportional to 306,522.88, 422,938.18 and 179,173.84 is: 247,222.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,522.88 : 422,938.18 = 179,173.84 : x
  2. Step 2: Convert to fraction form
    306,522.88/422,938.18 = 179,173.84/x
  3. Step 3: Cross multiply
    306,522.88x = 422,938.18 × 179,173.84
  4. Step 4: Simplify right side
    306,522.88x = 75,779,457,793.21
  5. Step 5: Solve for x
    x = 75,779,457,793.21/306,522.88
  6. Step 6: Final answer
    x = 247,222.84

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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.