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Finding the Fourth Proportional to 531,771.42, 733,846.83 and 290,059.14

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Solution

The fourth proportional to 531,771.42, 733,846.83 and 290,059.14 is: 400,282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,771.42 : 733,846.83 = 290,059.14 : x
  2. Step 2: Convert to fraction form
    531,771.42/733,846.83 = 290,059.14/x
  3. Step 3: Cross multiply
    531,771.42x = 733,846.83 × 290,059.14
  4. Step 4: Simplify right side
    531,771.42x = 212,858,980,401.53
  5. Step 5: Solve for x
    x = 212,858,980,401.53/531,771.42
  6. Step 6: Final answer
    x = 400,282.85

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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.