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Finding the Fourth Proportional to 275,842.58, 413,469.84 and 157,258.58

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Solution

The fourth proportional to 275,842.58, 413,469.84 and 157,258.58 is: 235,720.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,842.58 : 413,469.84 = 157,258.58 : x
  2. Step 2: Convert to fraction form
    275,842.58/413,469.84 = 157,258.58/x
  3. Step 3: Cross multiply
    275,842.58x = 413,469.84 × 157,258.58
  4. Step 4: Simplify right side
    275,842.58x = 65,021,679,911.23
  5. Step 5: Solve for x
    x = 65,021,679,911.23/275,842.58
  6. Step 6: Final answer
    x = 235,720.24

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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.