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Finding the Fourth Proportional to 323,610.72, 446,374.32 and 214,712.70

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Solution

The fourth proportional to 323,610.72, 446,374.32 and 214,712.70 is: 296,165.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,610.72 : 446,374.32 = 214,712.70 : x
  2. Step 2: Convert to fraction form
    323,610.72/446,374.32 = 214,712.70/x
  3. Step 3: Cross multiply
    323,610.72x = 446,374.32 × 214,712.70
  4. Step 4: Simplify right side
    323,610.72x = 95,842,235,457.86
  5. Step 5: Solve for x
    x = 95,842,235,457.86/323,610.72
  6. Step 6: Final answer
    x = 296,165.21

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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.