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Finding the Fourth Proportional to 323,680.10, 446,705.14 and 178,514.28

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Solution

The fourth proportional to 323,680.10, 446,705.14 and 178,514.28 is: 246,364.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,680.10 : 446,705.14 = 178,514.28 : x
  2. Step 2: Convert to fraction form
    323,680.10/446,705.14 = 178,514.28/x
  3. Step 3: Cross multiply
    323,680.10x = 446,705.14 × 178,514.28
  4. Step 4: Simplify right side
    323,680.10x = 79,743,247,332.76
  5. Step 5: Solve for x
    x = 79,743,247,332.76/323,680.10
  6. Step 6: Final answer
    x = 246,364.38

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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.