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Finding the Fourth Proportional to 321,906.33, 482,869.62 and 153,444.96

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Solution

The fourth proportional to 321,906.33, 482,869.62 and 153,444.96 is: 230,172.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,906.33 : 482,869.62 = 153,444.96 : x
  2. Step 2: Convert to fraction form
    321,906.33/482,869.62 = 153,444.96/x
  3. Step 3: Cross multiply
    321,906.33x = 482,869.62 × 153,444.96
  4. Step 4: Simplify right side
    321,906.33x = 74,093,909,526.12
  5. Step 5: Solve for x
    x = 74,093,909,526.12/321,906.33
  6. Step 6: Final answer
    x = 230,172.27

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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.