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Finding the Fourth Proportional to 323,689.10, 446,682.33 and 187,714.53

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Solution

The fourth proportional to 323,689.10, 446,682.33 and 187,714.53 is: 259,041.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,689.10 : 446,682.33 = 187,714.53 : x
  2. Step 2: Convert to fraction form
    323,689.10/446,682.33 = 187,714.53/x
  3. Step 3: Cross multiply
    323,689.10x = 446,682.33 × 187,714.53
  4. Step 4: Simplify right side
    323,689.10x = 83,848,763,635.25
  5. Step 5: Solve for x
    x = 83,848,763,635.25/323,689.10
  6. Step 6: Final answer
    x = 259,041.05

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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.