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Finding the Fourth Proportional to 452,533.23, 678,790.94 and 182,654.21

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Solution

The fourth proportional to 452,533.23, 678,790.94 and 182,654.21 is: 273,977.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,533.23 : 678,790.94 = 182,654.21 : x
  2. Step 2: Convert to fraction form
    452,533.23/678,790.94 = 182,654.21/x
  3. Step 3: Cross multiply
    452,533.23x = 678,790.94 × 182,654.21
  4. Step 4: Simplify right side
    452,533.23x = 123,984,019,963.54
  5. Step 5: Solve for x
    x = 123,984,019,963.54/452,533.23
  6. Step 6: Final answer
    x = 273,977.71

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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.