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Finding the Fourth Proportional to 433,680.66, 650,243.43 and 208,592.87

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Solution

The fourth proportional to 433,680.66, 650,243.43 and 208,592.87 is: 312,755.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,680.66 : 650,243.43 = 208,592.87 : x
  2. Step 2: Convert to fraction form
    433,680.66/650,243.43 = 208,592.87/x
  3. Step 3: Cross multiply
    433,680.66x = 650,243.43 × 208,592.87
  4. Step 4: Simplify right side
    433,680.66x = 135,636,140,011.13
  5. Step 5: Solve for x
    x = 135,636,140,011.13/433,680.66
  6. Step 6: Final answer
    x = 312,755.80

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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.