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Finding the Fourth Proportional to 513,558.27, 770,337.72 and 193,623.26

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Solution

The fourth proportional to 513,558.27, 770,337.72 and 193,623.26 is: 290,435.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,558.27 : 770,337.72 = 193,623.26 : x
  2. Step 2: Convert to fraction form
    513,558.27/770,337.72 = 193,623.26/x
  3. Step 3: Cross multiply
    513,558.27x = 770,337.72 × 193,623.26
  4. Step 4: Simplify right side
    513,558.27x = 149,155,296,795.68
  5. Step 5: Solve for x
    x = 149,155,296,795.68/513,558.27
  6. Step 6: Final answer
    x = 290,435.00

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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.