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Finding the Fourth Proportional to 473,231.54, 708,715.70 and 272,944.74

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Solution

The fourth proportional to 473,231.54, 708,715.70 and 272,944.74 is: 408,764.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,231.54 : 708,715.70 = 272,944.74 : x
  2. Step 2: Convert to fraction form
    473,231.54/708,715.70 = 272,944.74/x
  3. Step 3: Cross multiply
    473,231.54x = 708,715.70 × 272,944.74
  4. Step 4: Simplify right side
    473,231.54x = 193,440,222,470.42
  5. Step 5: Solve for x
    x = 193,440,222,470.42/473,231.54
  6. Step 6: Final answer
    x = 408,764.43

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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.