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Finding the Fourth Proportional to 705,634.37, 973,858.92 and 419,155.59

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Solution

The fourth proportional to 705,634.37, 973,858.92 and 419,155.59 is: 578,484.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,634.37 : 973,858.92 = 419,155.59 : x
  2. Step 2: Convert to fraction form
    705,634.37/973,858.92 = 419,155.59/x
  3. Step 3: Cross multiply
    705,634.37x = 973,858.92 × 419,155.59
  4. Step 4: Simplify right side
    705,634.37x = 408,198,412,269.50
  5. Step 5: Solve for x
    x = 408,198,412,269.50/705,634.37
  6. Step 6: Final answer
    x = 578,484.31

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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.