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Finding the Fourth Proportional to 705,844.95, 973,986.96 and 399,855.78

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Solution

The fourth proportional to 705,844.95, 973,986.96 and 399,855.78 is: 551,756.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,844.95 : 973,986.96 = 399,855.78 : x
  2. Step 2: Convert to fraction form
    705,844.95/973,986.96 = 399,855.78/x
  3. Step 3: Cross multiply
    705,844.95x = 973,986.96 × 399,855.78
  4. Step 4: Simplify right side
    705,844.95x = 389,454,315,600.63
  5. Step 5: Solve for x
    x = 389,454,315,600.63/705,844.95
  6. Step 6: Final answer
    x = 551,756.18

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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.