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Finding the Fourth Proportional to 321,693.28, 482,543.39 and 97,055.66

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Solution

The fourth proportional to 321,693.28, 482,543.39 and 97,055.66 is: 145,584.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,693.28 : 482,543.39 = 97,055.66 : x
  2. Step 2: Convert to fraction form
    321,693.28/482,543.39 = 97,055.66/x
  3. Step 3: Cross multiply
    321,693.28x = 482,543.39 × 97,055.66
  4. Step 4: Simplify right side
    321,693.28x = 46,833,568,644.09
  5. Step 5: Solve for x
    x = 46,833,568,644.09/321,693.28
  6. Step 6: Final answer
    x = 145,584.54

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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.