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Finding the Fourth Proportional to 358,838, 495,196.44 and 199,862

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Solution

The fourth proportional to 358,838, 495,196.44 and 199,862 is: 275,809.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,838 : 495,196.44 = 199,862 : x
  2. Step 2: Convert to fraction form
    358,838/495,196.44 = 199,862/x
  3. Step 3: Cross multiply
    358,838x = 495,196.44 × 199,862
  4. Step 4: Simplify right side
    358,838x = 98,970,950,891.28
  5. Step 5: Solve for x
    x = 98,970,950,891.28/358,838
  6. Step 6: Final answer
    x = 275,809.56

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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.