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Finding the Fourth Proportional to 274,720.50, 413,952.75 and 225,894.42

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Solution

The fourth proportional to 274,720.50, 413,952.75 and 225,894.42 is: 340,380.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,720.50 : 413,952.75 = 225,894.42 : x
  2. Step 2: Convert to fraction form
    274,720.50/413,952.75 = 225,894.42/x
  3. Step 3: Cross multiply
    274,720.50x = 413,952.75 × 225,894.42
  4. Step 4: Simplify right side
    274,720.50x = 93,509,616,368.66
  5. Step 5: Solve for x
    x = 93,509,616,368.66/274,720.50
  6. Step 6: Final answer
    x = 340,380.92

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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.