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Finding the Fourth Proportional to 461,645.91, 692,558.63 and 177,315.57

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Solution

The fourth proportional to 461,645.91, 692,558.63 and 177,315.57 is: 266,007.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,645.91 : 692,558.63 = 177,315.57 : x
  2. Step 2: Convert to fraction form
    461,645.91/692,558.63 = 177,315.57/x
  3. Step 3: Cross multiply
    461,645.91x = 692,558.63 × 177,315.57
  4. Step 4: Simplify right side
    461,645.91x = 122,801,427,350.29
  5. Step 5: Solve for x
    x = 122,801,427,350.29/461,645.91
  6. Step 6: Final answer
    x = 266,007.83

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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.