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Finding the Fourth Proportional to 747,648.21, 1,121,472.21 and 412,817.84

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Solution

The fourth proportional to 747,648.21, 1,121,472.21 and 412,817.84 is: 619,226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,648.21 : 1,121,472.21 = 412,817.84 : x
  2. Step 2: Convert to fraction form
    747,648.21/1,121,472.21 = 412,817.84/x
  3. Step 3: Cross multiply
    747,648.21x = 1,121,472.21 × 412,817.84
  4. Step 4: Simplify right side
    747,648.21x = 462,963,729,744.87
  5. Step 5: Solve for x
    x = 462,963,729,744.87/747,648.21
  6. Step 6: Final answer
    x = 619,226.69

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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.