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Finding the Fourth Proportional to 323,534.75, 446,459.38 and 185,684.49

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Solution

The fourth proportional to 323,534.75, 446,459.38 and 185,684.49 is: 256,233.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,534.75 : 446,459.38 = 185,684.49 : x
  2. Step 2: Convert to fraction form
    323,534.75/446,459.38 = 185,684.49/x
  3. Step 3: Cross multiply
    323,534.75x = 446,459.38 × 185,684.49
  4. Step 4: Simplify right side
    323,534.75x = 82,900,581,816.81
  5. Step 5: Solve for x
    x = 82,900,581,816.81/323,534.75
  6. Step 6: Final answer
    x = 256,233.94

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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.