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Finding the Fourth Proportional to 461,436.88, 692,151.02 and 145,893.82

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Solution

The fourth proportional to 461,436.88, 692,151.02 and 145,893.82 is: 218,839.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,436.88 : 692,151.02 = 145,893.82 : x
  2. Step 2: Convert to fraction form
    461,436.88/692,151.02 = 145,893.82/x
  3. Step 3: Cross multiply
    461,436.88x = 692,151.02 × 145,893.82
  4. Step 4: Simplify right side
    461,436.88x = 100,980,556,324.70
  5. Step 5: Solve for x
    x = 100,980,556,324.70/461,436.88
  6. Step 6: Final answer
    x = 218,839.37

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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.