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Finding the Fourth Proportional to 427,825.80, 641,738.70 and 217,873.80

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Solution

The fourth proportional to 427,825.80, 641,738.70 and 217,873.80 is: 326,810.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,825.80 : 641,738.70 = 217,873.80 : x
  2. Step 2: Convert to fraction form
    427,825.80/641,738.70 = 217,873.80/x
  3. Step 3: Cross multiply
    427,825.80x = 641,738.70 × 217,873.80
  4. Step 4: Simplify right side
    427,825.80x = 139,818,049,176.06
  5. Step 5: Solve for x
    x = 139,818,049,176.06/427,825.80
  6. Step 6: Final answer
    x = 326,810.70

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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.