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Finding the Fourth Proportional to 483,081.60, 723,747.60 and 413,097.60

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Solution

The fourth proportional to 483,081.60, 723,747.60 and 413,097.60 is: 618,898.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,081.60 : 723,747.60 = 413,097.60 : x
  2. Step 2: Convert to fraction form
    483,081.60/723,747.60 = 413,097.60/x
  3. Step 3: Cross multiply
    483,081.60x = 723,747.60 × 413,097.60
  4. Step 4: Simplify right side
    483,081.60x = 298,978,396,565.76
  5. Step 5: Solve for x
    x = 298,978,396,565.76/483,081.60
  6. Step 6: Final answer
    x = 618,898.33

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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.