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Finding the Fourth Proportional to 422,495.46, 633,316.50 and 264,834.54

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Solution

The fourth proportional to 422,495.46, 633,316.50 and 264,834.54 is: 396,984.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,495.46 : 633,316.50 = 264,834.54 : x
  2. Step 2: Convert to fraction form
    422,495.46/633,316.50 = 264,834.54/x
  3. Step 3: Cross multiply
    422,495.46x = 633,316.50 × 264,834.54
  4. Step 4: Simplify right side
    422,495.46x = 167,724,083,951.91
  5. Step 5: Solve for x
    x = 167,724,083,951.91/422,495.46
  6. Step 6: Final answer
    x = 396,984.35

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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.