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Finding the Fourth Proportional to 488,834.06, 673,884.54 and 343,196.46

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Solution

The fourth proportional to 488,834.06, 673,884.54 and 343,196.46 is: 473,115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,834.06 : 673,884.54 = 343,196.46 : x
  2. Step 2: Convert to fraction form
    488,834.06/673,884.54 = 343,196.46/x
  3. Step 3: Cross multiply
    488,834.06x = 673,884.54 × 343,196.46
  4. Step 4: Simplify right side
    488,834.06x = 231,274,788,576.73
  5. Step 5: Solve for x
    x = 231,274,788,576.73/488,834.06
  6. Step 6: Final answer
    x = 473,115.13

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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.