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Finding the Fourth Proportional to 323,978.49, 446,788.85 and 214,890.93

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Solution

The fourth proportional to 323,978.49, 446,788.85 and 214,890.93 is: 296,349.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,978.49 : 446,788.85 = 214,890.93 : x
  2. Step 2: Convert to fraction form
    323,978.49/446,788.85 = 214,890.93/x
  3. Step 3: Cross multiply
    323,978.49x = 446,788.85 × 214,890.93
  4. Step 4: Simplify right side
    323,978.49x = 96,010,870,415.68
  5. Step 5: Solve for x
    x = 96,010,870,415.68/323,978.49
  6. Step 6: Final answer
    x = 296,349.52

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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.