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Finding the Fourth Proportional to 466,580.80, 699,352.80 and 256,369.60

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Solution

The fourth proportional to 466,580.80, 699,352.80 and 256,369.60 is: 384,269.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,580.80 : 699,352.80 = 256,369.60 : x
  2. Step 2: Convert to fraction form
    466,580.80/699,352.80 = 256,369.60/x
  3. Step 3: Cross multiply
    466,580.80x = 699,352.80 × 256,369.60
  4. Step 4: Simplify right side
    466,580.80x = 179,292,797,594.88
  5. Step 5: Solve for x
    x = 179,292,797,594.88/466,580.80
  6. Step 6: Final answer
    x = 384,269.56

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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.