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Finding the Fourth Proportional to 466,091.20, 699,309.60 and 185,809.60

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Solution

The fourth proportional to 466,091.20, 699,309.60 and 185,809.60 is: 278,783.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,091.20 : 699,309.60 = 185,809.60 : x
  2. Step 2: Convert to fraction form
    466,091.20/699,309.60 = 185,809.60/x
  3. Step 3: Cross multiply
    466,091.20x = 699,309.60 × 185,809.60
  4. Step 4: Simplify right side
    466,091.20x = 129,938,437,052.16
  5. Step 5: Solve for x
    x = 129,938,437,052.16/466,091.20
  6. Step 6: Final answer
    x = 278,783.29

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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.