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Finding the Fourth Proportional to 432,766.26, 649,224.72 and 208,530.72

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Solution

The fourth proportional to 432,766.26, 649,224.72 and 208,530.72 is: 312,832.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,766.26 : 649,224.72 = 208,530.72 : x
  2. Step 2: Convert to fraction form
    432,766.26/649,224.72 = 208,530.72/x
  3. Step 3: Cross multiply
    432,766.26x = 649,224.72 × 208,530.72
  4. Step 4: Simplify right side
    432,766.26x = 135,383,298,303.40
  5. Step 5: Solve for x
    x = 135,383,298,303.40/432,766.26
  6. Step 6: Final answer
    x = 312,832.38

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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.