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Finding the Fourth Proportional to 264,452.50, 396,678.78 and 67,460.50

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Solution

The fourth proportional to 264,452.50, 396,678.78 and 67,460.50 is: 101,190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,452.50 : 396,678.78 = 67,460.50 : x
  2. Step 2: Convert to fraction form
    264,452.50/396,678.78 = 67,460.50/x
  3. Step 3: Cross multiply
    264,452.50x = 396,678.78 × 67,460.50
  4. Step 4: Simplify right side
    264,452.50x = 26,760,148,838.19
  5. Step 5: Solve for x
    x = 26,760,148,838.19/264,452.50
  6. Step 6: Final answer
    x = 101,190.76

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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.