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Finding the Fourth Proportional to 496,540.30, 744,810.45 and 180,956.20

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Solution

The fourth proportional to 496,540.30, 744,810.45 and 180,956.20 is: 271,434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,540.30 : 744,810.45 = 180,956.20 : x
  2. Step 2: Convert to fraction form
    496,540.30/744,810.45 = 180,956.20/x
  3. Step 3: Cross multiply
    496,540.30x = 744,810.45 × 180,956.20
  4. Step 4: Simplify right side
    496,540.30x = 134,778,068,752.29
  5. Step 5: Solve for x
    x = 134,778,068,752.29/496,540.30
  6. Step 6: Final answer
    x = 271,434.30

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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.