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Finding the Fourth Proportional to 311,576.42, 429,974.91 and 168,336.02

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Solution

The fourth proportional to 311,576.42, 429,974.91 and 168,336.02 is: 232,303.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,576.42 : 429,974.91 = 168,336.02 : x
  2. Step 2: Convert to fraction form
    311,576.42/429,974.91 = 168,336.02/x
  3. Step 3: Cross multiply
    311,576.42x = 429,974.91 × 168,336.02
  4. Step 4: Simplify right side
    311,576.42x = 72,380,262,899.38
  5. Step 5: Solve for x
    x = 72,380,262,899.38/311,576.42
  6. Step 6: Final answer
    x = 232,303.41

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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.