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Finding the Fourth Proportional to 364,665.88, 547,057.14 and 154,305.64

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Solution

The fourth proportional to 364,665.88, 547,057.14 and 154,305.64 is: 231,483.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,665.88 : 547,057.14 = 154,305.64 : x
  2. Step 2: Convert to fraction form
    364,665.88/547,057.14 = 154,305.64/x
  3. Step 3: Cross multiply
    364,665.88x = 547,057.14 × 154,305.64
  4. Step 4: Simplify right side
    364,665.88x = 84,414,002,104.27
  5. Step 5: Solve for x
    x = 84,414,002,104.27/364,665.88
  6. Step 6: Final answer
    x = 231,483.14

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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.