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Finding the Fourth Proportional to 729,593.88, 1,006,735.42 and 407,296.90

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Solution

The fourth proportional to 729,593.88, 1,006,735.42 and 407,296.90 is: 562,011.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,593.88 : 1,006,735.42 = 407,296.90 : x
  2. Step 2: Convert to fraction form
    729,593.88/1,006,735.42 = 407,296.90/x
  3. Step 3: Cross multiply
    729,593.88x = 1,006,735.42 × 407,296.90
  4. Step 4: Simplify right side
    729,593.88x = 410,040,215,686.20
  5. Step 5: Solve for x
    x = 410,040,215,686.20/729,593.88
  6. Step 6: Final answer
    x = 562,011.59

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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.