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Finding the Fourth Proportional to 347,261.33, 523,494.75 and 324,114.57

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Solution

The fourth proportional to 347,261.33, 523,494.75 and 324,114.57 is: 488,601.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,261.33 : 523,494.75 = 324,114.57 : x
  2. Step 2: Convert to fraction form
    347,261.33/523,494.75 = 324,114.57/x
  3. Step 3: Cross multiply
    347,261.33x = 523,494.75 × 324,114.57
  4. Step 4: Simplify right side
    347,261.33x = 169,672,275,793.51
  5. Step 5: Solve for x
    x = 169,672,275,793.51/347,261.33
  6. Step 6: Final answer
    x = 488,601.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.