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Finding the Fourth Proportional to 497,676.88, 746,644.02 and 142,716.88

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Solution

The fourth proportional to 497,676.88, 746,644.02 and 142,716.88 is: 214,112.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,676.88 : 746,644.02 = 142,716.88 : x
  2. Step 2: Convert to fraction form
    497,676.88/746,644.02 = 142,716.88/x
  3. Step 3: Cross multiply
    497,676.88x = 746,644.02 × 142,716.88
  4. Step 4: Simplify right side
    497,676.88x = 106,558,705,005.06
  5. Step 5: Solve for x
    x = 106,558,705,005.06/497,676.88
  6. Step 6: Final answer
    x = 214,112.23

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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.