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Finding the Fourth Proportional to 273,284.93, 409,086.62 and 178,310.60

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Solution

The fourth proportional to 273,284.93, 409,086.62 and 178,310.60 is: 266,917.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,284.93 : 409,086.62 = 178,310.60 : x
  2. Step 2: Convert to fraction form
    273,284.93/409,086.62 = 178,310.60/x
  3. Step 3: Cross multiply
    273,284.93x = 409,086.62 × 178,310.60
  4. Step 4: Simplify right side
    273,284.93x = 72,944,477,727.19
  5. Step 5: Solve for x
    x = 72,944,477,727.19/273,284.93
  6. Step 6: Final answer
    x = 266,917.31

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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.