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Finding the Fourth Proportional to 323,357.20, 446,210 and 178,156.64

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Solution

The fourth proportional to 323,357.20, 446,210 and 178,156.64 is: 245,843.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,357.20 : 446,210 = 178,156.64 : x
  2. Step 2: Convert to fraction form
    323,357.20/446,210 = 178,156.64/x
  3. Step 3: Cross multiply
    323,357.20x = 446,210 × 178,156.64
  4. Step 4: Simplify right side
    323,357.20x = 79,495,274,334.40
  5. Step 5: Solve for x
    x = 79,495,274,334.40/323,357.20
  6. Step 6: Final answer
    x = 245,843.53

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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.