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Finding the Fourth Proportional to 599,646.60, 827,511.78 and 331,374.60

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Solution

The fourth proportional to 599,646.60, 827,511.78 and 331,374.60 is: 457,296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,646.60 : 827,511.78 = 331,374.60 : x
  2. Step 2: Convert to fraction form
    599,646.60/827,511.78 = 331,374.60/x
  3. Step 3: Cross multiply
    599,646.60x = 827,511.78 × 331,374.60
  4. Step 4: Simplify right side
    599,646.60x = 274,216,385,092.79
  5. Step 5: Solve for x
    x = 274,216,385,092.79/599,646.60
  6. Step 6: Final answer
    x = 457,296.66

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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.