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Finding the Fourth Proportional to 541,212.45, 811,801.87 and 257,107.44

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Solution

The fourth proportional to 541,212.45, 811,801.87 and 257,107.44 is: 385,653.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,212.45 : 811,801.87 = 257,107.44 : x
  2. Step 2: Convert to fraction form
    541,212.45/811,801.87 = 257,107.44/x
  3. Step 3: Cross multiply
    541,212.45x = 811,801.87 × 257,107.44
  4. Step 4: Simplify right side
    541,212.45x = 208,720,300,582.91
  5. Step 5: Solve for x
    x = 208,720,300,582.91/541,212.45
  6. Step 6: Final answer
    x = 385,653.18

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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.