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Finding the Fourth Proportional to 700,520.89, 966,742.56 and 414,286.33

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Solution

The fourth proportional to 700,520.89, 966,742.56 and 414,286.33 is: 571,729.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,520.89 : 966,742.56 = 414,286.33 : x
  2. Step 2: Convert to fraction form
    700,520.89/966,742.56 = 414,286.33/x
  3. Step 3: Cross multiply
    700,520.89x = 966,742.56 × 414,286.33
  4. Step 4: Simplify right side
    700,520.89x = 400,508,227,237.21
  5. Step 5: Solve for x
    x = 400,508,227,237.21/700,520.89
  6. Step 6: Final answer
    x = 571,729.17

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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.