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Finding the Fourth Proportional to 513,555.89, 770,183.32 and 193,476.82

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Solution

The fourth proportional to 513,555.89, 770,183.32 and 193,476.82 is: 290,158.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,555.89 : 770,183.32 = 193,476.82 : x
  2. Step 2: Convert to fraction form
    513,555.89/770,183.32 = 193,476.82/x
  3. Step 3: Cross multiply
    513,555.89x = 770,183.32 × 193,476.82
  4. Step 4: Simplify right side
    513,555.89x = 149,012,617,887.03
  5. Step 5: Solve for x
    x = 149,012,617,887.03/513,555.89
  6. Step 6: Final answer
    x = 290,158.52

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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.