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Finding the Fourth Proportional to 431,273.48, 646,081.10 and 241,157.22

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Solution

The fourth proportional to 431,273.48, 646,081.10 and 241,157.22 is: 361,272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,273.48 : 646,081.10 = 241,157.22 : x
  2. Step 2: Convert to fraction form
    431,273.48/646,081.10 = 241,157.22/x
  3. Step 3: Cross multiply
    431,273.48x = 646,081.10 × 241,157.22
  4. Step 4: Simplify right side
    431,273.48x = 155,807,120,764.76
  5. Step 5: Solve for x
    x = 155,807,120,764.76/431,273.48
  6. Step 6: Final answer
    x = 361,272.21

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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.