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Finding the Fourth Proportional to 543,815.80, 815,723.70 and 411,105.40

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Solution

The fourth proportional to 543,815.80, 815,723.70 and 411,105.40 is: 616,658.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,815.80 : 815,723.70 = 411,105.40 : x
  2. Step 2: Convert to fraction form
    543,815.80/815,723.70 = 411,105.40/x
  3. Step 3: Cross multiply
    543,815.80x = 815,723.70 × 411,105.40
  4. Step 4: Simplify right side
    543,815.80x = 335,348,417,977.98
  5. Step 5: Solve for x
    x = 335,348,417,977.98/543,815.80
  6. Step 6: Final answer
    x = 616,658.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.