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Finding the Fourth Proportional to 323,534.06, 446,480.25 and 178,345

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Solution

The fourth proportional to 323,534.06, 446,480.25 and 178,345 is: 246,117.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,534.06 : 446,480.25 = 178,345 : x
  2. Step 2: Convert to fraction form
    323,534.06/446,480.25 = 178,345/x
  3. Step 3: Cross multiply
    323,534.06x = 446,480.25 × 178,345
  4. Step 4: Simplify right side
    323,534.06x = 79,627,520,186.25
  5. Step 5: Solve for x
    x = 79,627,520,186.25/323,534.06
  6. Step 6: Final answer
    x = 246,117.89

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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.