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Finding the Fourth Proportional to 531,816.27, 733,911.13 and 290,099.91

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Solution

The fourth proportional to 531,816.27, 733,911.13 and 290,099.91 is: 400,340.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,816.27 : 733,911.13 = 290,099.91 : x
  2. Step 2: Convert to fraction form
    531,816.27/733,911.13 = 290,099.91/x
  3. Step 3: Cross multiply
    531,816.27x = 733,911.13 × 290,099.91
  4. Step 4: Simplify right side
    531,816.27x = 212,907,555,875.79
  5. Step 5: Solve for x
    x = 212,907,555,875.79/531,816.27
  6. Step 6: Final answer
    x = 400,340.44

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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.