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Finding the Fourth Proportional to 496,115.02, 744,169.74 and 180,571.93

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Solution

The fourth proportional to 496,115.02, 744,169.74 and 180,571.93 is: 270,856.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,115.02 : 744,169.74 = 180,571.93 : x
  2. Step 2: Convert to fraction form
    496,115.02/744,169.74 = 180,571.93/x
  3. Step 3: Cross multiply
    496,115.02x = 744,169.74 × 180,571.93
  4. Step 4: Simplify right side
    496,115.02x = 134,376,166,199.40
  5. Step 5: Solve for x
    x = 134,376,166,199.40/496,115.02
  6. Step 6: Final answer
    x = 270,856.88

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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.