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Finding the Fourth Proportional to 464,882.44, 697,659.81 and 165,365.50

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Solution

The fourth proportional to 464,882.44, 697,659.81 and 165,365.50 is: 248,167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,882.44 : 697,659.81 = 165,365.50 : x
  2. Step 2: Convert to fraction form
    464,882.44/697,659.81 = 165,365.50/x
  3. Step 3: Cross multiply
    464,882.44x = 697,659.81 × 165,365.50
  4. Step 4: Simplify right side
    464,882.44x = 115,368,863,310.56
  5. Step 5: Solve for x
    x = 115,368,863,310.56/464,882.44
  6. Step 6: Final answer
    x = 248,167.82

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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.