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Finding the Fourth Proportional to 976,654.80, 1,463,815.80 and 408,034.80

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Solution

The fourth proportional to 976,654.80, 1,463,815.80 and 408,034.80 is: 611,564.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,654.80 : 1,463,815.80 = 408,034.80 : x
  2. Step 2: Convert to fraction form
    976,654.80/1,463,815.80 = 408,034.80/x
  3. Step 3: Cross multiply
    976,654.80x = 1,463,815.80 × 408,034.80
  4. Step 4: Simplify right side
    976,654.80x = 597,287,787,189.84
  5. Step 5: Solve for x
    x = 597,287,787,189.84/976,654.80
  6. Step 6: Final answer
    x = 611,564.89

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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.