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Finding the Fourth Proportional to 323,874.78, 446,802.64 and 187,829.88

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Solution

The fourth proportional to 323,874.78, 446,802.64 and 187,829.88 is: 259,121.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,874.78 : 446,802.64 = 187,829.88 : x
  2. Step 2: Convert to fraction form
    323,874.78/446,802.64 = 187,829.88/x
  3. Step 3: Cross multiply
    323,874.78x = 446,802.64 × 187,829.88
  4. Step 4: Simplify right side
    323,874.78x = 83,922,886,254.88
  5. Step 5: Solve for x
    x = 83,922,886,254.88/323,874.78
  6. Step 6: Final answer
    x = 259,121.40

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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.