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Finding the Fourth Proportional to 323,827.20, 485,740.80 and 284,461.20

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Solution

The fourth proportional to 323,827.20, 485,740.80 and 284,461.20 is: 426,691.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,827.20 : 485,740.80 = 284,461.20 : x
  2. Step 2: Convert to fraction form
    323,827.20/485,740.80 = 284,461.20/x
  3. Step 3: Cross multiply
    323,827.20x = 485,740.80 × 284,461.20
  4. Step 4: Simplify right side
    323,827.20x = 138,174,410,856.96
  5. Step 5: Solve for x
    x = 138,174,410,856.96/323,827.20
  6. Step 6: Final answer
    x = 426,691.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.