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Finding the Fourth Proportional to 468,059.36, 645,919.97 and 253,198.89

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Solution

The fourth proportional to 468,059.36, 645,919.97 and 253,198.89 is: 349,413.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,059.36 : 645,919.97 = 253,198.89 : x
  2. Step 2: Convert to fraction form
    468,059.36/645,919.97 = 253,198.89/x
  3. Step 3: Cross multiply
    468,059.36x = 645,919.97 × 253,198.89
  4. Step 4: Simplify right side
    468,059.36x = 163,546,218,166.84
  5. Step 5: Solve for x
    x = 163,546,218,166.84/468,059.36
  6. Step 6: Final answer
    x = 349,413.42

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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.