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Finding the Fourth Proportional to 310,780.22, 428,755.24 and 174,782.97

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Solution

The fourth proportional to 310,780.22, 428,755.24 and 174,782.97 is: 241,132.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,780.22 : 428,755.24 = 174,782.97 : x
  2. Step 2: Convert to fraction form
    310,780.22/428,755.24 = 174,782.97/x
  3. Step 3: Cross multiply
    310,780.22x = 428,755.24 × 174,782.97
  4. Step 4: Simplify right side
    310,780.22x = 74,939,113,813.31
  5. Step 5: Solve for x
    x = 74,939,113,813.31/310,780.22
  6. Step 6: Final answer
    x = 241,132.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.