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Finding the Fourth Proportional to 729,687.44, 1,006,993.14 and 407,401.40

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Solution

The fourth proportional to 729,687.44, 1,006,993.14 and 407,401.40 is: 562,227.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,687.44 : 1,006,993.14 = 407,401.40 : x
  2. Step 2: Convert to fraction form
    729,687.44/1,006,993.14 = 407,401.40/x
  3. Step 3: Cross multiply
    729,687.44x = 1,006,993.14 × 407,401.40
  4. Step 4: Simplify right side
    729,687.44x = 410,250,415,026.40
  5. Step 5: Solve for x
    x = 410,250,415,026.40/729,687.44
  6. Step 6: Final answer
    x = 562,227.60

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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.