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Finding the Fourth Proportional to 488,175.76, 673,624.96 and 281,441.84

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Solution

The fourth proportional to 488,175.76, 673,624.96 and 281,441.84 is: 388,356.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,175.76 : 673,624.96 = 281,441.84 : x
  2. Step 2: Convert to fraction form
    488,175.76/673,624.96 = 281,441.84/x
  3. Step 3: Cross multiply
    488,175.76x = 673,624.96 × 281,441.84
  4. Step 4: Simplify right side
    488,175.76x = 189,586,247,929.74
  5. Step 5: Solve for x
    x = 189,586,247,929.74/488,175.76
  6. Step 6: Final answer
    x = 388,356.54

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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.