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Finding the Fourth Proportional to 524,766.46, 724,049.22 and 295,279

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Solution

The fourth proportional to 524,766.46, 724,049.22 and 295,279 is: 407,412.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,766.46 : 724,049.22 = 295,279 : x
  2. Step 2: Convert to fraction form
    524,766.46/724,049.22 = 295,279/x
  3. Step 3: Cross multiply
    524,766.46x = 724,049.22 × 295,279
  4. Step 4: Simplify right side
    524,766.46x = 213,796,529,632.38
  5. Step 5: Solve for x
    x = 213,796,529,632.38/524,766.46
  6. Step 6: Final answer
    x = 407,412.72

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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.