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Finding the Fourth Proportional to 465,085.22, 697,700.93 and 198,847.13

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Solution

The fourth proportional to 465,085.22, 697,700.93 and 198,847.13 is: 298,301.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,085.22 : 697,700.93 = 198,847.13 : x
  2. Step 2: Convert to fraction form
    465,085.22/697,700.93 = 198,847.13/x
  3. Step 3: Cross multiply
    465,085.22x = 697,700.93 × 198,847.13
  4. Step 4: Simplify right side
    465,085.22x = 138,735,823,046.09
  5. Step 5: Solve for x
    x = 138,735,823,046.09/465,085.22
  6. Step 6: Final answer
    x = 298,301.94

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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.