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Finding the Fourth Proportional to 361,346.85, 498,662.66 and 200,204.44

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Solution

The fourth proportional to 361,346.85, 498,662.66 and 200,204.44 is: 276,284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,346.85 : 498,662.66 = 200,204.44 : x
  2. Step 2: Convert to fraction form
    361,346.85/498,662.66 = 200,204.44/x
  3. Step 3: Cross multiply
    361,346.85x = 498,662.66 × 200,204.44
  4. Step 4: Simplify right side
    361,346.85x = 99,834,477,848.06
  5. Step 5: Solve for x
    x = 99,834,477,848.06/361,346.85
  6. Step 6: Final answer
    x = 276,284.35

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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.