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Finding the Fourth Proportional to 978,137.20, 1,467,205.80 and 268,164.10

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Solution

The fourth proportional to 978,137.20, 1,467,205.80 and 268,164.10 is: 402,246.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,137.20 : 1,467,205.80 = 268,164.10 : x
  2. Step 2: Convert to fraction form
    978,137.20/1,467,205.80 = 268,164.10/x
  3. Step 3: Cross multiply
    978,137.20x = 1,467,205.80 × 268,164.10
  4. Step 4: Simplify right side
    978,137.20x = 393,451,922,871.78
  5. Step 5: Solve for x
    x = 393,451,922,871.78/978,137.20
  6. Step 6: Final answer
    x = 402,246.15

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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.