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Finding the Fourth Proportional to 364,523.20, 546,784.80 and 223,825.60

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Solution

The fourth proportional to 364,523.20, 546,784.80 and 223,825.60 is: 335,738.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,523.20 : 546,784.80 = 223,825.60 : x
  2. Step 2: Convert to fraction form
    364,523.20/546,784.80 = 223,825.60/x
  3. Step 3: Cross multiply
    364,523.20x = 546,784.80 × 223,825.60
  4. Step 4: Simplify right side
    364,523.20x = 122,384,435,930.88
  5. Step 5: Solve for x
    x = 122,384,435,930.88/364,523.20
  6. Step 6: Final answer
    x = 335,738.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.