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Finding the Fourth Proportional to 685,471.84, 1,028,385.16 and 401,402.41

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Solution

The fourth proportional to 685,471.84, 1,028,385.16 and 401,402.41 is: 602,207.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,471.84 : 1,028,385.16 = 401,402.41 : x
  2. Step 2: Convert to fraction form
    685,471.84/1,028,385.16 = 401,402.41/x
  3. Step 3: Cross multiply
    685,471.84x = 1,028,385.16 × 401,402.41
  4. Step 4: Simplify right side
    685,471.84x = 412,796,278,057.77
  5. Step 5: Solve for x
    x = 412,796,278,057.77/685,471.84
  6. Step 6: Final answer
    x = 602,207.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.