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Finding the Fourth Proportional to 705,692.57, 973,641.20 and 399,720.33

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Solution

The fourth proportional to 705,692.57, 973,641.20 and 399,720.33 is: 551,492.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,692.57 : 973,641.20 = 399,720.33 : x
  2. Step 2: Convert to fraction form
    705,692.57/973,641.20 = 399,720.33/x
  3. Step 3: Cross multiply
    705,692.57x = 973,641.20 × 399,720.33
  4. Step 4: Simplify right side
    705,692.57x = 389,184,179,766.99
  5. Step 5: Solve for x
    x = 389,184,179,766.99/705,692.57
  6. Step 6: Final answer
    x = 551,492.53

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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.