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Finding the Fourth Proportional to 531,205.44, 733,035.24 and 304,836

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Solution

The fourth proportional to 531,205.44, 733,035.24 and 304,836 is: 420,657.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,205.44 : 733,035.24 = 304,836 : x
  2. Step 2: Convert to fraction form
    531,205.44/733,035.24 = 304,836/x
  3. Step 3: Cross multiply
    531,205.44x = 733,035.24 × 304,836
  4. Step 4: Simplify right side
    531,205.44x = 223,455,530,420.64
  5. Step 5: Solve for x
    x = 223,455,530,420.64/531,205.44
  6. Step 6: Final answer
    x = 420,657.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.