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Finding the Fourth Proportional to 574,147.32, 792,463.90 and 444,830

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Solution

The fourth proportional to 574,147.32, 792,463.90 and 444,830 is: 613,974.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,147.32 : 792,463.90 = 444,830 : x
  2. Step 2: Convert to fraction form
    574,147.32/792,463.90 = 444,830/x
  3. Step 3: Cross multiply
    574,147.32x = 792,463.90 × 444,830
  4. Step 4: Simplify right side
    574,147.32x = 352,511,716,637
  5. Step 5: Solve for x
    x = 352,511,716,637/574,147.32
  6. Step 6: Final answer
    x = 613,974.33

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Why These Related Problems?

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