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Finding the Fourth Proportional to 463,775.20, 695,257.80 and 179,659.60

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Solution

The fourth proportional to 463,775.20, 695,257.80 and 179,659.60 is: 269,332.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,775.20 : 695,257.80 = 179,659.60 : x
  2. Step 2: Convert to fraction form
    463,775.20/695,257.80 = 179,659.60/x
  3. Step 3: Cross multiply
    463,775.20x = 695,257.80 × 179,659.60
  4. Step 4: Simplify right side
    463,775.20x = 124,909,738,244.88
  5. Step 5: Solve for x
    x = 124,909,738,244.88/463,775.20
  6. Step 6: Final answer
    x = 269,332.51

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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.