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Finding the Fourth Proportional to 323,607.78, 446,580.81 and 180,376.90

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Solution

The fourth proportional to 323,607.78, 446,580.81 and 180,376.90 is: 248,921.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,607.78 : 446,580.81 = 180,376.90 : x
  2. Step 2: Convert to fraction form
    323,607.78/446,580.81 = 180,376.90/x
  3. Step 3: Cross multiply
    323,607.78x = 446,580.81 × 180,376.90
  4. Step 4: Simplify right side
    323,607.78x = 80,552,862,107.29
  5. Step 5: Solve for x
    x = 80,552,862,107.29/323,607.78
  6. Step 6: Final answer
    x = 248,921.28

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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.