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Finding the Fourth Proportional to 274,703.48, 413,927.09 and 225,877.36

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Solution

The fourth proportional to 274,703.48, 413,927.09 and 225,877.36 is: 340,355.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,703.48 : 413,927.09 = 225,877.36 : x
  2. Step 2: Convert to fraction form
    274,703.48/413,927.09 = 225,877.36/x
  3. Step 3: Cross multiply
    274,703.48x = 413,927.09 × 225,877.36
  4. Step 4: Simplify right side
    274,703.48x = 93,496,757,004.52
  5. Step 5: Solve for x
    x = 93,496,757,004.52/274,703.48
  6. Step 6: Final answer
    x = 340,355.19

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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.