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Finding the Fourth Proportional to 323,373.31, 446,268.98 and 180,133.45

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Solution

The fourth proportional to 323,373.31, 446,268.98 and 180,133.45 is: 248,591.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,373.31 : 446,268.98 = 180,133.45 : x
  2. Step 2: Convert to fraction form
    323,373.31/446,268.98 = 180,133.45/x
  3. Step 3: Cross multiply
    323,373.31x = 446,268.98 × 180,133.45
  4. Step 4: Simplify right side
    323,373.31x = 80,387,970,995.38
  5. Step 5: Solve for x
    x = 80,387,970,995.38/323,373.31
  6. Step 6: Final answer
    x = 248,591.86

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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.