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Finding the Fourth Proportional to 473,226.54, 708,708.20 and 272,939.74

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Solution

The fourth proportional to 473,226.54, 708,708.20 and 272,939.74 is: 408,756.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,226.54 : 708,708.20 = 272,939.74 : x
  2. Step 2: Convert to fraction form
    473,226.54/708,708.20 = 272,939.74/x
  3. Step 3: Cross multiply
    473,226.54x = 708,708.20 × 272,939.74
  4. Step 4: Simplify right side
    473,226.54x = 193,434,631,843.87
  5. Step 5: Solve for x
    x = 193,434,631,843.87/473,226.54
  6. Step 6: Final answer
    x = 408,756.94

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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.