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Finding the Fourth Proportional to 311,504.67, 429,847.20 and 175,516.20

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Solution

The fourth proportional to 311,504.67, 429,847.20 and 175,516.20 is: 242,195.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,504.67 : 429,847.20 = 175,516.20 : x
  2. Step 2: Convert to fraction form
    311,504.67/429,847.20 = 175,516.20/x
  3. Step 3: Cross multiply
    311,504.67x = 429,847.20 × 175,516.20
  4. Step 4: Simplify right side
    311,504.67x = 75,445,147,124.64
  5. Step 5: Solve for x
    x = 75,445,147,124.64/311,504.67
  6. Step 6: Final answer
    x = 242,195.88

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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.