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Finding the Fourth Proportional to 274,688.88, 413,905.03 and 225,862.75

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Solution

The fourth proportional to 274,688.88, 413,905.03 and 225,862.75 is: 340,333.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,688.88 : 413,905.03 = 225,862.75 : x
  2. Step 2: Convert to fraction form
    274,688.88/413,905.03 = 225,862.75/x
  3. Step 3: Cross multiply
    274,688.88x = 413,905.03 × 225,862.75
  4. Step 4: Simplify right side
    274,688.88x = 93,485,728,314.63
  5. Step 5: Solve for x
    x = 93,485,728,314.63/274,688.88
  6. Step 6: Final answer
    x = 340,333.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.