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Finding the Fourth Proportional to 275,745.92, 413,968.86 and 234,455.36

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Solution

The fourth proportional to 275,745.92, 413,968.86 and 234,455.36 is: 351,980.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,745.92 : 413,968.86 = 234,455.36 : x
  2. Step 2: Convert to fraction form
    275,745.92/413,968.86 = 234,455.36/x
  3. Step 3: Cross multiply
    275,745.92x = 413,968.86 × 234,455.36
  4. Step 4: Simplify right side
    275,745.92x = 97,057,216,030.25
  5. Step 5: Solve for x
    x = 97,057,216,030.25/275,745.92
  6. Step 6: Final answer
    x = 351,980.61

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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.