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Finding the Fourth Proportional to 361,293.90, 498,616.20 and 200,199.48

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Solution

The fourth proportional to 361,293.90, 498,616.20 and 200,199.48 is: 276,292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,293.90 : 498,616.20 = 200,199.48 : x
  2. Step 2: Convert to fraction form
    361,293.90/498,616.20 = 200,199.48/x
  3. Step 3: Cross multiply
    361,293.90x = 498,616.20 × 200,199.48
  4. Step 4: Simplify right side
    361,293.90x = 99,822,703,959.58
  5. Step 5: Solve for x
    x = 99,822,703,959.58/361,293.90
  6. Step 6: Final answer
    x = 276,292.25

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1.5x scale

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.