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Finding the Fourth Proportional to 496,522.40, 744,709.80 and 180,905.72

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Solution

The fourth proportional to 496,522.40, 744,709.80 and 180,905.72 is: 271,331.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,522.40 : 744,709.80 = 180,905.72 : x
  2. Step 2: Convert to fraction form
    496,522.40/744,709.80 = 180,905.72/x
  3. Step 3: Cross multiply
    496,522.40x = 744,709.80 × 180,905.72
  4. Step 4: Simplify right side
    496,522.40x = 134,722,262,560.06
  5. Step 5: Solve for x
    x = 134,722,262,560.06/496,522.40
  6. Step 6: Final answer
    x = 271,331.69

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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.