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Finding the Fourth Proportional to 323,899.67, 446,983.10 and 178,705.45

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Solution

The fourth proportional to 323,899.67, 446,983.10 and 178,705.45 is: 246,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,899.67 : 446,983.10 = 178,705.45 : x
  2. Step 2: Convert to fraction form
    323,899.67/446,983.10 = 178,705.45/x
  3. Step 3: Cross multiply
    323,899.67x = 446,983.10 × 178,705.45
  4. Step 4: Simplify right side
    323,899.67x = 79,878,316,027.90
  5. Step 5: Solve for x
    x = 79,878,316,027.90/323,899.67
  6. Step 6: Final answer
    x = 246,614.38

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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.