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Finding the Fourth Proportional to 458,618.72, 687,614.06 and 233,543.48

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Solution

The fourth proportional to 458,618.72, 687,614.06 and 233,543.48 is: 350,155.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,618.72 : 687,614.06 = 233,543.48 : x
  2. Step 2: Convert to fraction form
    458,618.72/687,614.06 = 233,543.48/x
  3. Step 3: Cross multiply
    458,618.72x = 687,614.06 × 233,543.48
  4. Step 4: Simplify right side
    458,618.72x = 160,587,780,469.33
  5. Step 5: Solve for x
    x = 160,587,780,469.33/458,618.72
  6. Step 6: Final answer
    x = 350,155.31

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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.