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Finding the Fourth Proportional to 310,496.67, 465,698.21 and 198,956.33

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Solution

The fourth proportional to 310,496.67, 465,698.21 and 198,956.33 is: 298,404.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,496.67 : 465,698.21 = 198,956.33 : x
  2. Step 2: Convert to fraction form
    310,496.67/465,698.21 = 198,956.33/x
  3. Step 3: Cross multiply
    310,496.67x = 465,698.21 × 198,956.33
  4. Step 4: Simplify right side
    310,496.67x = 92,653,606,918.63
  5. Step 5: Solve for x
    x = 92,653,606,918.63/310,496.67
  6. Step 6: Final answer
    x = 298,404.52

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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.