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Finding the Fourth Proportional to 546,197.64, 818,727.90 and 305,959.33

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Solution

The fourth proportional to 546,197.64, 818,727.90 and 305,959.33 is: 458,620.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,197.64 : 818,727.90 = 305,959.33 : x
  2. Step 2: Convert to fraction form
    546,197.64/818,727.90 = 305,959.33/x
  3. Step 3: Cross multiply
    546,197.64x = 818,727.90 × 305,959.33
  4. Step 4: Simplify right side
    546,197.64x = 250,497,439,736.31
  5. Step 5: Solve for x
    x = 250,497,439,736.31/546,197.64
  6. Step 6: Final answer
    x = 458,620.51

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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.