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Finding the Fourth Proportional to 323,518.90, 446,457.86 and 187,633.42

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Solution

The fourth proportional to 323,518.90, 446,457.86 and 187,633.42 is: 258,935.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,518.90 : 446,457.86 = 187,633.42 : x
  2. Step 2: Convert to fraction form
    323,518.90/446,457.86 = 187,633.42/x
  3. Step 3: Cross multiply
    323,518.90x = 446,457.86 × 187,633.42
  4. Step 4: Simplify right side
    323,518.90x = 83,770,414,219.51
  5. Step 5: Solve for x
    x = 83,770,414,219.51/323,518.90
  6. Step 6: Final answer
    x = 258,935.15

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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.