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Finding the Fourth Proportional to 323,823.72, 446,908.86 and 242,009.88

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Solution

The fourth proportional to 323,823.72, 446,908.86 and 242,009.88 is: 333,997.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,823.72 : 446,908.86 = 242,009.88 : x
  2. Step 2: Convert to fraction form
    323,823.72/446,908.86 = 242,009.88/x
  3. Step 3: Cross multiply
    323,823.72x = 446,908.86 × 242,009.88
  4. Step 4: Simplify right side
    323,823.72x = 108,156,359,579.54
  5. Step 5: Solve for x
    x = 108,156,359,579.54/323,823.72
  6. Step 6: Final answer
    x = 333,997.64

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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.