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Finding the Fourth Proportional to 412,511.82, 618,944.18 and 172,681.76

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Solution

The fourth proportional to 412,511.82, 618,944.18 and 172,681.76 is: 259,096.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,511.82 : 618,944.18 = 172,681.76 : x
  2. Step 2: Convert to fraction form
    412,511.82/618,944.18 = 172,681.76/x
  3. Step 3: Cross multiply
    412,511.82x = 618,944.18 × 172,681.76
  4. Step 4: Simplify right side
    412,511.82x = 106,880,372,323.22
  5. Step 5: Solve for x
    x = 106,880,372,323.22/412,511.82
  6. Step 6: Final answer
    x = 259,096.51

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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.