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Finding the Fourth Proportional to 705,789.32, 973,879.62 and 419,302.04

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Solution

The fourth proportional to 705,789.32, 973,879.62 and 419,302.04 is: 578,571.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,789.32 : 973,879.62 = 419,302.04 : x
  2. Step 2: Convert to fraction form
    705,789.32/973,879.62 = 419,302.04/x
  3. Step 3: Cross multiply
    705,789.32x = 973,879.62 × 419,302.04
  4. Step 4: Simplify right side
    705,789.32x = 408,349,711,380.43
  5. Step 5: Solve for x
    x = 408,349,711,380.43/705,789.32
  6. Step 6: Final answer
    x = 578,571.68

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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.