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Finding the Fourth Proportional to 546,674.30, 820,165.05 and 266,200.70

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Solution

The fourth proportional to 546,674.30, 820,165.05 and 266,200.70 is: 399,375.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,674.30 : 820,165.05 = 266,200.70 : x
  2. Step 2: Convert to fraction form
    546,674.30/820,165.05 = 266,200.70/x
  3. Step 3: Cross multiply
    546,674.30x = 820,165.05 × 266,200.70
  4. Step 4: Simplify right side
    546,674.30x = 218,328,510,425.54
  5. Step 5: Solve for x
    x = 218,328,510,425.54/546,674.30
  6. Step 6: Final answer
    x = 399,375.84

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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.