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Finding the Fourth Proportional to 411,450.40, 618,097.20 and 394,656.80

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Solution

The fourth proportional to 411,450.40, 618,097.20 and 394,656.80 is: 592,869.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,450.40 : 618,097.20 = 394,656.80 : x
  2. Step 2: Convert to fraction form
    411,450.40/618,097.20 = 394,656.80/x
  3. Step 3: Cross multiply
    411,450.40x = 618,097.20 × 394,656.80
  4. Step 4: Simplify right side
    411,450.40x = 243,936,263,040.96
  5. Step 5: Solve for x
    x = 243,936,263,040.96/411,450.40
  6. Step 6: Final answer
    x = 592,869.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.