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Finding the Fourth Proportional to 705,791.32, 973,882.38 and 419,304.04

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Solution

The fourth proportional to 705,791.32, 973,882.38 and 419,304.04 is: 578,574.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,791.32 : 973,882.38 = 419,304.04 : x
  2. Step 2: Convert to fraction form
    705,791.32/973,882.38 = 419,304.04/x
  3. Step 3: Cross multiply
    705,791.32x = 973,882.38 × 419,304.04
  4. Step 4: Simplify right side
    705,791.32x = 408,352,816,418.82
  5. Step 5: Solve for x
    x = 408,352,816,418.82/705,791.32
  6. Step 6: Final answer
    x = 578,574.44

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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.