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Finding the Fourth Proportional to 453,485.82, 680,491.59 and 228,863.82

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Solution

The fourth proportional to 453,485.82, 680,491.59 and 228,863.82 is: 343,428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,485.82 : 680,491.59 = 228,863.82 : x
  2. Step 2: Convert to fraction form
    453,485.82/680,491.59 = 228,863.82/x
  3. Step 3: Cross multiply
    453,485.82x = 680,491.59 × 228,863.82
  4. Step 4: Simplify right side
    453,485.82x = 155,739,904,765.27
  5. Step 5: Solve for x
    x = 155,739,904,765.27/453,485.82
  6. Step 6: Final answer
    x = 343,428.39

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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.