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Finding the Fourth Proportional to 463,796.20, 695,289.30 and 179,680.60

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Solution

The fourth proportional to 463,796.20, 695,289.30 and 179,680.60 is: 269,364.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,796.20 : 695,289.30 = 179,680.60 : x
  2. Step 2: Convert to fraction form
    463,796.20/695,289.30 = 179,680.60/x
  3. Step 3: Cross multiply
    463,796.20x = 695,289.30 × 179,680.60
  4. Step 4: Simplify right side
    463,796.20x = 124,929,998,597.58
  5. Step 5: Solve for x
    x = 124,929,998,597.58/463,796.20
  6. Step 6: Final answer
    x = 269,364.00

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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.