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Finding the Fourth Proportional to 397,057.06, 547,950.99 and 227,345.86

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Solution

The fourth proportional to 397,057.06, 547,950.99 and 227,345.86 is: 313,744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,057.06 : 547,950.99 = 227,345.86 : x
  2. Step 2: Convert to fraction form
    397,057.06/547,950.99 = 227,345.86/x
  3. Step 3: Cross multiply
    397,057.06x = 547,950.99 × 227,345.86
  4. Step 4: Simplify right side
    397,057.06x = 124,574,389,059.40
  5. Step 5: Solve for x
    x = 124,574,389,059.40/397,057.06
  6. Step 6: Final answer
    x = 313,744.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.