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Finding the Fourth Proportional to 325,059.87, 448,402.10 and 189,078.51

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Solution

The fourth proportional to 325,059.87, 448,402.10 and 189,078.51 is: 260,823.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,059.87 : 448,402.10 = 189,078.51 : x
  2. Step 2: Convert to fraction form
    325,059.87/448,402.10 = 189,078.51/x
  3. Step 3: Cross multiply
    325,059.87x = 448,402.10 × 189,078.51
  4. Step 4: Simplify right side
    325,059.87x = 84,783,200,003.48
  5. Step 5: Solve for x
    x = 84,783,200,003.48/325,059.87
  6. Step 6: Final answer
    x = 260,823.34

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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.