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Finding the Fourth Proportional to 352,434.17, 486,243.38 and 199,457.16

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Solution

The fourth proportional to 352,434.17, 486,243.38 and 199,457.16 is: 275,185.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,434.17 : 486,243.38 = 199,457.16 : x
  2. Step 2: Convert to fraction form
    352,434.17/486,243.38 = 199,457.16/x
  3. Step 3: Cross multiply
    352,434.17x = 486,243.38 × 199,457.16
  4. Step 4: Simplify right side
    352,434.17x = 96,984,722,646.32
  5. Step 5: Solve for x
    x = 96,984,722,646.32/352,434.17
  6. Step 6: Final answer
    x = 275,185.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.