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Finding the Fourth Proportional to 820,078.65, 1,131,709.05 and 457,502.54

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Solution

The fourth proportional to 820,078.65, 1,131,709.05 and 457,502.54 is: 631,353.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,078.65 : 1,131,709.05 = 457,502.54 : x
  2. Step 2: Convert to fraction form
    820,078.65/1,131,709.05 = 457,502.54/x
  3. Step 3: Cross multiply
    820,078.65x = 1,131,709.05 × 457,502.54
  4. Step 4: Simplify right side
    820,078.65x = 517,759,759,257.44
  5. Step 5: Solve for x
    x = 517,759,759,257.44/820,078.65
  6. Step 6: Final answer
    x = 631,353.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.