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Finding the Fourth Proportional to 408,655.69, 612,977.37 and 183,857.38

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Solution

The fourth proportional to 408,655.69, 612,977.37 and 183,857.38 is: 275,783.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,655.69 : 612,977.37 = 183,857.38 : x
  2. Step 2: Convert to fraction form
    408,655.69/612,977.37 = 183,857.38/x
  3. Step 3: Cross multiply
    408,655.69x = 612,977.37 × 183,857.38
  4. Step 4: Simplify right side
    408,655.69x = 112,700,412,059.78
  5. Step 5: Solve for x
    x = 112,700,412,059.78/408,655.69
  6. Step 6: Final answer
    x = 275,783.29

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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.