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Finding the Fourth Proportional to 470,101.09, 647,577.44 and 400,965.33

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Solution

The fourth proportional to 470,101.09, 647,577.44 and 400,965.33 is: 552,340.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,101.09 : 647,577.44 = 400,965.33 : x
  2. Step 2: Convert to fraction form
    470,101.09/647,577.44 = 400,965.33/x
  3. Step 3: Cross multiply
    470,101.09x = 647,577.44 × 400,965.33
  4. Step 4: Simplify right side
    470,101.09x = 259,656,098,692.27
  5. Step 5: Solve for x
    x = 259,656,098,692.27/470,101.09
  6. Step 6: Final answer
    x = 552,340.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.