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Finding the Fourth Proportional to 323,543.57, 446,358.60 and 214,699.21

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Solution

The fourth proportional to 323,543.57, 446,358.60 and 214,699.21 is: 296,197.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,543.57 : 446,358.60 = 214,699.21 : x
  2. Step 2: Convert to fraction form
    323,543.57/446,358.60 = 214,699.21/x
  3. Step 3: Cross multiply
    323,543.57x = 446,358.60 × 214,699.21
  4. Step 4: Simplify right side
    323,543.57x = 95,832,837,680.81
  5. Step 5: Solve for x
    x = 95,832,837,680.81/323,543.57
  6. Step 6: Final answer
    x = 296,197.63

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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.