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Finding the Fourth Proportional to 433,044.56, 649,837.49 and 208,428.73

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Solution

The fourth proportional to 433,044.56, 649,837.49 and 208,428.73 is: 312,773.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,044.56 : 649,837.49 = 208,428.73 : x
  2. Step 2: Convert to fraction form
    433,044.56/649,837.49 = 208,428.73/x
  3. Step 3: Cross multiply
    433,044.56x = 649,837.49 × 208,428.73
  4. Step 4: Simplify right side
    433,044.56x = 135,444,800,080.35
  5. Step 5: Solve for x
    x = 135,444,800,080.35/433,044.56
  6. Step 6: Final answer
    x = 312,773.35

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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.