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Finding the Fourth Proportional to 433,045.56, 649,838.99 and 208,429.73

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Solution

The fourth proportional to 433,045.56, 649,838.99 and 208,429.73 is: 312,774.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,045.56 : 649,838.99 = 208,429.73 : x
  2. Step 2: Convert to fraction form
    433,045.56/649,838.99 = 208,429.73/x
  3. Step 3: Cross multiply
    433,045.56x = 649,838.99 × 208,429.73
  4. Step 4: Simplify right side
    433,045.56x = 135,445,765,229.17
  5. Step 5: Solve for x
    x = 135,445,765,229.17/433,045.56
  6. Step 6: Final answer
    x = 312,774.86

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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.