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Finding the Fourth Proportional to 200,406.60, 300,467.52 and 100,494.72

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Solution

The fourth proportional to 200,406.60, 300,467.52 and 100,494.72 is: 150,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,406.60 : 300,467.52 = 100,494.72 : x
  2. Step 2: Convert to fraction form
    200,406.60/300,467.52 = 100,494.72/x
  3. Step 3: Cross multiply
    200,406.60x = 300,467.52 × 100,494.72
  4. Step 4: Simplify right side
    200,406.60x = 30,195,399,291.49
  5. Step 5: Solve for x
    x = 30,195,399,291.49/200,406.60
  6. Step 6: Final answer
    x = 150,670.68

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1.5x scale

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.