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Finding the Fourth Proportional to 686,703.67, 1,030,184.64 and 276,404.34

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Solution

The fourth proportional to 686,703.67, 1,030,184.64 and 276,404.34 is: 414,658.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,703.67 : 1,030,184.64 = 276,404.34 : x
  2. Step 2: Convert to fraction form
    686,703.67/1,030,184.64 = 276,404.34/x
  3. Step 3: Cross multiply
    686,703.67x = 1,030,184.64 × 276,404.34
  4. Step 4: Simplify right side
    686,703.67x = 284,747,505,497.34
  5. Step 5: Solve for x
    x = 284,747,505,497.34/686,703.67
  6. Step 6: Final answer
    x = 414,658.49

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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.