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Finding the Fourth Proportional to 322,402.60, 483,128.70 and 233,842.60

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Solution

The fourth proportional to 322,402.60, 483,128.70 and 233,842.60 is: 350,419.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,402.60 : 483,128.70 = 233,842.60 : x
  2. Step 2: Convert to fraction form
    322,402.60/483,128.70 = 233,842.60/x
  3. Step 3: Cross multiply
    322,402.60x = 483,128.70 × 233,842.60
  4. Step 4: Simplify right side
    322,402.60x = 112,976,071,342.62
  5. Step 5: Solve for x
    x = 112,976,071,342.62/322,402.60
  6. Step 6: Final answer
    x = 350,419.23

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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.