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Finding the Fourth Proportional to 397,062.06, 547,957.89 and 227,350.86

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Solution

The fourth proportional to 397,062.06, 547,957.89 and 227,350.86 is: 313,751.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,062.06 : 547,957.89 = 227,350.86 : x
  2. Step 2: Convert to fraction form
    397,062.06/547,957.89 = 227,350.86/x
  3. Step 3: Cross multiply
    397,062.06x = 547,957.89 × 227,350.86
  4. Step 4: Simplify right side
    397,062.06x = 124,578,697,535.29
  5. Step 5: Solve for x
    x = 124,578,697,535.29/397,062.06
  6. Step 6: Final answer
    x = 313,751.20

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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.