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Finding the Fourth Proportional to 364,552.80, 546,829.20 and 327,811.20

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Solution

The fourth proportional to 364,552.80, 546,829.20 and 327,811.20 is: 491,716.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,552.80 : 546,829.20 = 327,811.20 : x
  2. Step 2: Convert to fraction form
    364,552.80/546,829.20 = 327,811.20/x
  3. Step 3: Cross multiply
    364,552.80x = 546,829.20 × 327,811.20
  4. Step 4: Simplify right side
    364,552.80x = 179,256,736,247.04
  5. Step 5: Solve for x
    x = 179,256,736,247.04/364,552.80
  6. Step 6: Final answer
    x = 491,716.80

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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.