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Finding the Fourth Proportional to 705,687.81, 973,778.94 and 399,703.29

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Solution

The fourth proportional to 705,687.81, 973,778.94 and 399,703.29 is: 551,550.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,687.81 : 973,778.94 = 399,703.29 : x
  2. Step 2: Convert to fraction form
    705,687.81/973,778.94 = 399,703.29/x
  3. Step 3: Cross multiply
    705,687.81x = 973,778.94 × 399,703.29
  4. Step 4: Simplify right side
    705,687.81x = 389,222,646,050.71
  5. Step 5: Solve for x
    x = 389,222,646,050.71/705,687.81
  6. Step 6: Final answer
    x = 551,550.76

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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.