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Finding the Fourth Proportional to 461,195.91, 691,756.94 and 205,107.77

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Solution

The fourth proportional to 461,195.91, 691,756.94 and 205,107.77 is: 307,645.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,195.91 : 691,756.94 = 205,107.77 : x
  2. Step 2: Convert to fraction form
    461,195.91/691,756.94 = 205,107.77/x
  3. Step 3: Cross multiply
    461,195.91x = 691,756.94 × 205,107.77
  4. Step 4: Simplify right side
    461,195.91x = 141,884,725,587.59
  5. Step 5: Solve for x
    x = 141,884,725,587.59/461,195.91
  6. Step 6: Final answer
    x = 307,645.24

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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.