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Finding the Fourth Proportional to 365,049.12, 547,617.36 and 140,357.28

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Solution

The fourth proportional to 365,049.12, 547,617.36 and 140,357.28 is: 210,552.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,049.12 : 547,617.36 = 140,357.28 : x
  2. Step 2: Convert to fraction form
    365,049.12/547,617.36 = 140,357.28/x
  3. Step 3: Cross multiply
    365,049.12x = 547,617.36 × 140,357.28
  4. Step 4: Simplify right side
    365,049.12x = 76,862,083,130.38
  5. Step 5: Solve for x
    x = 76,862,083,130.38/365,049.12
  6. Step 6: Final answer
    x = 210,552.71

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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.