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Finding the Fourth Proportional to 311,833.24, 430,306.50 and 184,483.96

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Solution

The fourth proportional to 311,833.24, 430,306.50 and 184,483.96 is: 254,574.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,833.24 : 430,306.50 = 184,483.96 : x
  2. Step 2: Convert to fraction form
    311,833.24/430,306.50 = 184,483.96/x
  3. Step 3: Cross multiply
    311,833.24x = 430,306.50 × 184,483.96
  4. Step 4: Simplify right side
    311,833.24x = 79,384,647,133.74
  5. Step 5: Solve for x
    x = 79,384,647,133.74/311,833.24
  6. Step 6: Final answer
    x = 254,574.04

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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.