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Finding the Fourth Proportional to 354,022.60, 531,033.90 and 164,482.60

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Solution

The fourth proportional to 354,022.60, 531,033.90 and 164,482.60 is: 246,723.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,022.60 : 531,033.90 = 164,482.60 : x
  2. Step 2: Convert to fraction form
    354,022.60/531,033.90 = 164,482.60/x
  3. Step 3: Cross multiply
    354,022.60x = 531,033.90 × 164,482.60
  4. Step 4: Simplify right side
    354,022.60x = 87,345,836,560.14
  5. Step 5: Solve for x
    x = 87,345,836,560.14/354,022.60
  6. Step 6: Final answer
    x = 246,723.90

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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.