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Finding the Fourth Proportional to 437,180.51, 655,794.17 and 137,684.41

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Solution

The fourth proportional to 437,180.51, 655,794.17 and 137,684.41 is: 206,533.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,180.51 : 655,794.17 = 137,684.41 : x
  2. Step 2: Convert to fraction form
    437,180.51/655,794.17 = 137,684.41/x
  3. Step 3: Cross multiply
    437,180.51x = 655,794.17 × 137,684.41
  4. Step 4: Simplify right side
    437,180.51x = 90,292,633,377.89
  5. Step 5: Solve for x
    x = 90,292,633,377.89/437,180.51
  6. Step 6: Final answer
    x = 206,533.99

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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.