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Finding the Fourth Proportional to 442,972.80, 664,459.20 and 364,240.80

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Solution

The fourth proportional to 442,972.80, 664,459.20 and 364,240.80 is: 546,361.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,972.80 : 664,459.20 = 364,240.80 : x
  2. Step 2: Convert to fraction form
    442,972.80/664,459.20 = 364,240.80/x
  3. Step 3: Cross multiply
    442,972.80x = 664,459.20 × 364,240.80
  4. Step 4: Simplify right side
    442,972.80x = 242,023,150,575.36
  5. Step 5: Solve for x
    x = 242,023,150,575.36/442,972.80
  6. Step 6: Final answer
    x = 546,361.20

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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.