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Finding the Fourth Proportional to 305,423.20, 458,134.80 and 165,455.20

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Solution

The fourth proportional to 305,423.20, 458,134.80 and 165,455.20 is: 248,182.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,423.20 : 458,134.80 = 165,455.20 : x
  2. Step 2: Convert to fraction form
    305,423.20/458,134.80 = 165,455.20/x
  3. Step 3: Cross multiply
    305,423.20x = 458,134.80 × 165,455.20
  4. Step 4: Simplify right side
    305,423.20x = 75,800,784,960.96
  5. Step 5: Solve for x
    x = 75,800,784,960.96/305,423.20
  6. Step 6: Final answer
    x = 248,182.80

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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.