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Finding the Fourth Proportional to 470,100.84, 647,577.10 and 400,965.08

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Solution

The fourth proportional to 470,100.84, 647,577.10 and 400,965.08 is: 552,340.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,100.84 : 647,577.10 = 400,965.08 : x
  2. Step 2: Convert to fraction form
    470,100.84/647,577.10 = 400,965.08/x
  3. Step 3: Cross multiply
    470,100.84x = 647,577.10 × 400,965.08
  4. Step 4: Simplify right side
    470,100.84x = 259,655,798,464.96
  5. Step 5: Solve for x
    x = 259,655,798,464.96/470,100.84
  6. Step 6: Final answer
    x = 552,340.65

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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.