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Finding the Fourth Proportional to 418,236.96, 626,513.43 and 193,287.60

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Solution

The fourth proportional to 418,236.96, 626,513.43 and 193,287.60 is: 289,542.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,236.96 : 626,513.43 = 193,287.60 : x
  2. Step 2: Convert to fraction form
    418,236.96/626,513.43 = 193,287.60/x
  3. Step 3: Cross multiply
    418,236.96x = 626,513.43 × 193,287.60
  4. Step 4: Simplify right side
    418,236.96x = 121,097,277,252.47
  5. Step 5: Solve for x
    x = 121,097,277,252.47/418,236.96
  6. Step 6: Final answer
    x = 289,542.27

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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.