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Finding the Fourth Proportional to 543,708.70, 814,007.85 and 333,756.70

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Solution

The fourth proportional to 543,708.70, 814,007.85 and 333,756.70 is: 499,680.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,708.70 : 814,007.85 = 333,756.70 : x
  2. Step 2: Convert to fraction form
    543,708.70/814,007.85 = 333,756.70/x
  3. Step 3: Cross multiply
    543,708.70x = 814,007.85 × 333,756.70
  4. Step 4: Simplify right side
    543,708.70x = 271,680,573,790.10
  5. Step 5: Solve for x
    x = 271,680,573,790.10/543,708.70
  6. Step 6: Final answer
    x = 499,680.39

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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.