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Finding the Fourth Proportional to 417,960.76, 576,877.62 and 274,734.04

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Solution

The fourth proportional to 417,960.76, 576,877.62 and 274,734.04 is: 379,193.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,960.76 : 576,877.62 = 274,734.04 : x
  2. Step 2: Convert to fraction form
    417,960.76/576,877.62 = 274,734.04/x
  3. Step 3: Cross multiply
    417,960.76x = 576,877.62 × 274,734.04
  4. Step 4: Simplify right side
    417,960.76x = 158,487,919,128.19
  5. Step 5: Solve for x
    x = 158,487,919,128.19/417,960.76
  6. Step 6: Final answer
    x = 379,193.30

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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.