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Finding the Fourth Proportional to 497,742.06, 746,615.97 and 123,765.06

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Solution

The fourth proportional to 497,742.06, 746,615.97 and 123,765.06 is: 185,648.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,742.06 : 746,615.97 = 123,765.06 : x
  2. Step 2: Convert to fraction form
    497,742.06/746,615.97 = 123,765.06/x
  3. Step 3: Cross multiply
    497,742.06x = 746,615.97 × 123,765.06
  4. Step 4: Simplify right side
    497,742.06x = 92,404,970,324.01
  5. Step 5: Solve for x
    x = 92,404,970,324.01/497,742.06
  6. Step 6: Final answer
    x = 185,648.31

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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.