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Finding the Fourth Proportional to 384,748.20, 577,132.20 and 182,296.80

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Solution

The fourth proportional to 384,748.20, 577,132.20 and 182,296.80 is: 273,449.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,748.20 : 577,132.20 = 182,296.80 : x
  2. Step 2: Convert to fraction form
    384,748.20/577,132.20 = 182,296.80/x
  3. Step 3: Cross multiply
    384,748.20x = 577,132.20 × 182,296.80
  4. Step 4: Simplify right side
    384,748.20x = 105,209,353,236.96
  5. Step 5: Solve for x
    x = 105,209,353,236.96/384,748.20
  6. Step 6: Final answer
    x = 273,449.89

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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.