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Finding the Fourth Proportional to 323,470, 446,397.24 and 180,236.08

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Solution

The fourth proportional to 323,470, 446,397.24 and 180,236.08 is: 248,730.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,470 : 446,397.24 = 180,236.08 : x
  2. Step 2: Convert to fraction form
    323,470/446,397.24 = 180,236.08/x
  3. Step 3: Cross multiply
    323,470x = 446,397.24 × 180,236.08
  4. Step 4: Simplify right side
    323,470x = 80,456,888,660.42
  5. Step 5: Solve for x
    x = 80,456,888,660.42/323,470
  6. Step 6: Final answer
    x = 248,730.60

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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.