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Finding the Fourth Proportional to 465,253.62, 697,945.77 and 228,605.64

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Solution

The fourth proportional to 465,253.62, 697,945.77 and 228,605.64 is: 342,940.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,253.62 : 697,945.77 = 228,605.64 : x
  2. Step 2: Convert to fraction form
    465,253.62/697,945.77 = 228,605.64/x
  3. Step 3: Cross multiply
    465,253.62x = 697,945.77 × 228,605.64
  4. Step 4: Simplify right side
    465,253.62x = 159,554,339,436.14
  5. Step 5: Solve for x
    x = 159,554,339,436.14/465,253.62
  6. Step 6: Final answer
    x = 342,940.57

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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.