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Finding the Fourth Proportional to 464,806, 697,503.94 and 198,568.52

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Solution

The fourth proportional to 464,806, 697,503.94 and 198,568.52 is: 297,978.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,806 : 697,503.94 = 198,568.52 : x
  2. Step 2: Convert to fraction form
    464,806/697,503.94 = 198,568.52/x
  3. Step 3: Cross multiply
    464,806x = 697,503.94 × 198,568.52
  4. Step 4: Simplify right side
    464,806x = 138,502,325,059.97
  5. Step 5: Solve for x
    x = 138,502,325,059.97/464,806
  6. Step 6: Final answer
    x = 297,978.78

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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.