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Finding the Fourth Proportional to 709,846.20, 1,063,019.70 and 471,900.60

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Solution

The fourth proportional to 709,846.20, 1,063,019.70 and 471,900.60 is: 706,687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,846.20 : 1,063,019.70 = 471,900.60 : x
  2. Step 2: Convert to fraction form
    709,846.20/1,063,019.70 = 471,900.60/x
  3. Step 3: Cross multiply
    709,846.20x = 1,063,019.70 × 471,900.60
  4. Step 4: Simplify right side
    709,846.20x = 501,639,634,241.82
  5. Step 5: Solve for x
    x = 501,639,634,241.82/709,846.20
  6. Step 6: Final answer
    x = 706,687.78

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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.