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Finding the Fourth Proportional to 323,580.72, 446,543.61 and 180,349.98

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Solution

The fourth proportional to 323,580.72, 446,543.61 and 180,349.98 is: 248,884.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,580.72 : 446,543.61 = 180,349.98 : x
  2. Step 2: Convert to fraction form
    323,580.72/446,543.61 = 180,349.98/x
  3. Step 3: Cross multiply
    323,580.72x = 446,543.61 × 180,349.98
  4. Step 4: Simplify right side
    323,580.72x = 80,534,131,132.63
  5. Step 5: Solve for x
    x = 80,534,131,132.63/323,580.72
  6. Step 6: Final answer
    x = 248,884.21

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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.