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Finding the Fourth Proportional to 468,262.32, 646,161.20 and 274,709.04

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Solution

The fourth proportional to 468,262.32, 646,161.20 and 274,709.04 is: 379,074.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,262.32 : 646,161.20 = 274,709.04 : x
  2. Step 2: Convert to fraction form
    468,262.32/646,161.20 = 274,709.04/x
  3. Step 3: Cross multiply
    468,262.32x = 646,161.20 × 274,709.04
  4. Step 4: Simplify right side
    468,262.32x = 177,506,322,937.25
  5. Step 5: Solve for x
    x = 177,506,322,937.25/468,262.32
  6. Step 6: Final answer
    x = 379,074.54

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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.