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Finding the Fourth Proportional to 513,323.22, 770,093.27 and 193,468.32

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Solution

The fourth proportional to 513,323.22, 770,093.27 and 193,468.32 is: 290,243.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,323.22 : 770,093.27 = 193,468.32 : x
  2. Step 2: Convert to fraction form
    513,323.22/770,093.27 = 193,468.32/x
  3. Step 3: Cross multiply
    513,323.22x = 770,093.27 × 193,468.32
  4. Step 4: Simplify right side
    513,323.22x = 148,988,654,202.52
  5. Step 5: Solve for x
    x = 148,988,654,202.52/513,323.22
  6. Step 6: Final answer
    x = 290,243.35

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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.