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Finding the Fourth Proportional to 471,299, 706,056.52 and 278,596.51

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Solution

The fourth proportional to 471,299, 706,056.52 and 278,596.51 is: 417,367.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,299 : 706,056.52 = 278,596.51 : x
  2. Step 2: Convert to fraction form
    471,299/706,056.52 = 278,596.51/x
  3. Step 3: Cross multiply
    471,299x = 706,056.52 × 278,596.51
  4. Step 4: Simplify right side
    471,299x = 196,704,882,334.75
  5. Step 5: Solve for x
    x = 196,704,882,334.75/471,299
  6. Step 6: Final answer
    x = 417,367.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.