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Finding the Fourth Proportional to 599,673.06, 827,468.84 and 385,103.76

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Solution

The fourth proportional to 599,673.06, 827,468.84 and 385,103.76 is: 531,391.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,673.06 : 827,468.84 = 385,103.76 : x
  2. Step 2: Convert to fraction form
    599,673.06/827,468.84 = 385,103.76/x
  3. Step 3: Cross multiply
    599,673.06x = 827,468.84 × 385,103.76
  4. Step 4: Simplify right side
    599,673.06x = 318,661,361,566.84
  5. Step 5: Solve for x
    x = 318,661,361,566.84/599,673.06
  6. Step 6: Final answer
    x = 531,391.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.