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Finding the Fourth Proportional to 311,313.24, 466,940.67 and 100,953

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Solution

The fourth proportional to 311,313.24, 466,940.67 and 100,953 is: 151,420.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,313.24 : 466,940.67 = 100,953 : x
  2. Step 2: Convert to fraction form
    311,313.24/466,940.67 = 100,953/x
  3. Step 3: Cross multiply
    311,313.24x = 466,940.67 × 100,953
  4. Step 4: Simplify right side
    311,313.24x = 47,139,061,458.51
  5. Step 5: Solve for x
    x = 47,139,061,458.51/311,313.24
  6. Step 6: Final answer
    x = 151,420.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.