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Finding the Fourth Proportional to 433,093.08, 649,639.62 and 211,287

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Solution

The fourth proportional to 433,093.08, 649,639.62 and 211,287 is: 316,930.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,093.08 : 649,639.62 = 211,287 : x
  2. Step 2: Convert to fraction form
    433,093.08/649,639.62 = 211,287/x
  3. Step 3: Cross multiply
    433,093.08x = 649,639.62 × 211,287
  4. Step 4: Simplify right side
    433,093.08x = 137,260,406,390.94
  5. Step 5: Solve for x
    x = 137,260,406,390.94/433,093.08
  6. Step 6: Final answer
    x = 316,930.50

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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.