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Finding the Fourth Proportional to 465,698.34, 697,963.55 and 199,146.02

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Solution

The fourth proportional to 465,698.34, 697,963.55 and 199,146.02 is: 298,469.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,698.34 : 697,963.55 = 199,146.02 : x
  2. Step 2: Convert to fraction form
    465,698.34/697,963.55 = 199,146.02/x
  3. Step 3: Cross multiply
    465,698.34x = 697,963.55 × 199,146.02
  4. Step 4: Simplify right side
    465,698.34x = 138,996,663,087.57
  5. Step 5: Solve for x
    x = 138,996,663,087.57/465,698.34
  6. Step 6: Final answer
    x = 298,469.31

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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.