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Finding the Fourth Proportional to 470,101.34, 647,577.79 and 400,965.58

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Solution

The fourth proportional to 470,101.34, 647,577.79 and 400,965.58 is: 552,341.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,101.34 : 647,577.79 = 400,965.58 : x
  2. Step 2: Convert to fraction form
    470,101.34/647,577.79 = 400,965.58/x
  3. Step 3: Cross multiply
    470,101.34x = 647,577.79 × 400,965.58
  4. Step 4: Simplify right side
    470,101.34x = 259,656,398,919.75
  5. Step 5: Solve for x
    x = 259,656,398,919.75/470,101.34
  6. Step 6: Final answer
    x = 552,341.33

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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.