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Finding the Fourth Proportional to 274,701.42, 413,923.91 and 225,875.25

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Solution

The fourth proportional to 274,701.42, 413,923.91 and 225,875.25 is: 340,351.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,701.42 : 413,923.91 = 225,875.25 : x
  2. Step 2: Convert to fraction form
    274,701.42/413,923.91 = 225,875.25/x
  3. Step 3: Cross multiply
    274,701.42x = 413,923.91 × 225,875.25
  4. Step 4: Simplify right side
    274,701.42x = 93,495,165,522.85
  5. Step 5: Solve for x
    x = 93,495,165,522.85/274,701.42
  6. Step 6: Final answer
    x = 340,351.96

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