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Finding the Fourth Proportional to 433,046.21, 649,347.48 and 230,757.62

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Solution

The fourth proportional to 433,046.21, 649,347.48 and 230,757.62 is: 346,018.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,046.21 : 649,347.48 = 230,757.62 : x
  2. Step 2: Convert to fraction form
    433,046.21/649,347.48 = 230,757.62/x
  3. Step 3: Cross multiply
    433,046.21x = 649,347.48 × 230,757.62
  4. Step 4: Simplify right side
    433,046.21x = 149,841,875,791.06
  5. Step 5: Solve for x
    x = 149,841,875,791.06/433,046.21
  6. Step 6: Final answer
    x = 346,018.22

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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.