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Finding the Fourth Proportional to 468,776.82, 703,421.24 and 198,863.26

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Solution

The fourth proportional to 468,776.82, 703,421.24 and 198,863.26 is: 298,403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,776.82 : 703,421.24 = 198,863.26 : x
  2. Step 2: Convert to fraction form
    468,776.82/703,421.24 = 198,863.26/x
  3. Step 3: Cross multiply
    468,776.82x = 703,421.24 × 198,863.26
  4. Step 4: Simplify right side
    468,776.82x = 139,884,640,939.64
  5. Step 5: Solve for x
    x = 139,884,640,939.64/468,776.82
  6. Step 6: Final answer
    x = 298,403.49

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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.