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Finding the Fourth Proportional to 364,223.20, 546,334.80 and 328,793.80

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Solution

The fourth proportional to 364,223.20, 546,334.80 and 328,793.80 is: 493,190.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,223.20 : 546,334.80 = 328,793.80 : x
  2. Step 2: Convert to fraction form
    364,223.20/546,334.80 = 328,793.80/x
  3. Step 3: Cross multiply
    364,223.20x = 546,334.80 × 328,793.80
  4. Step 4: Simplify right side
    364,223.20x = 179,631,494,964.24
  5. Step 5: Solve for x
    x = 179,631,494,964.24/364,223.20
  6. Step 6: Final answer
    x = 493,190.70

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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.