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Finding the Fourth Proportional to 433,496.88, 649,654.43 and 208,840.95

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Solution

The fourth proportional to 433,496.88, 649,654.43 and 208,840.95 is: 312,976.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,496.88 : 649,654.43 = 208,840.95 : x
  2. Step 2: Convert to fraction form
    433,496.88/649,654.43 = 208,840.95/x
  3. Step 3: Cross multiply
    433,496.88x = 649,654.43 × 208,840.95
  4. Step 4: Simplify right side
    433,496.88x = 135,674,447,288.70
  5. Step 5: Solve for x
    x = 135,674,447,288.70/433,496.88
  6. Step 6: Final answer
    x = 312,976.76

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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.