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Finding the Fourth Proportional to 547,811.60, 820,104.60 and 408,189.20

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Solution

The fourth proportional to 547,811.60, 820,104.60 and 408,189.20 is: 611,082.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,811.60 : 820,104.60 = 408,189.20 : x
  2. Step 2: Convert to fraction form
    547,811.60/820,104.60 = 408,189.20/x
  3. Step 3: Cross multiply
    547,811.60x = 820,104.60 × 408,189.20
  4. Step 4: Simplify right side
    547,811.60x = 334,757,840,590.32
  5. Step 5: Solve for x
    x = 334,757,840,590.32/547,811.60
  6. Step 6: Final answer
    x = 611,082.06

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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.