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Finding the Fourth Proportional to 513,652.72, 770,634.24 and 153,835.24

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Solution

The fourth proportional to 513,652.72, 770,634.24 and 153,835.24 is: 230,799.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,652.72 : 770,634.24 = 153,835.24 : x
  2. Step 2: Convert to fraction form
    513,652.72/770,634.24 = 153,835.24/x
  3. Step 3: Cross multiply
    513,652.72x = 770,634.24 × 153,835.24
  4. Step 4: Simplify right side
    513,652.72x = 118,550,703,262.62
  5. Step 5: Solve for x
    x = 118,550,703,262.62/513,652.72
  6. Step 6: Final answer
    x = 230,799.33

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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.