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Finding the Fourth Proportional to 705,626.40, 973,847.91 and 419,147.64

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Solution

The fourth proportional to 705,626.40, 973,847.91 and 419,147.64 is: 578,473.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,626.40 : 973,847.91 = 419,147.64 : x
  2. Step 2: Convert to fraction form
    705,626.40/973,847.91 = 419,147.64/x
  3. Step 3: Cross multiply
    705,626.40x = 973,847.91 × 419,147.64
  4. Step 4: Simplify right side
    705,626.40x = 408,186,053,195.43
  5. Step 5: Solve for x
    x = 408,186,053,195.43/705,626.40
  6. Step 6: Final answer
    x = 578,473.33

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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.