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Finding the Fourth Proportional to 409,286.36, 614,348.46 and 337,981.80

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Solution

The fourth proportional to 409,286.36, 614,348.46 and 337,981.80 is: 507,318.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,286.36 : 614,348.46 = 337,981.80 : x
  2. Step 2: Convert to fraction form
    409,286.36/614,348.46 = 337,981.80/x
  3. Step 3: Cross multiply
    409,286.36x = 614,348.46 × 337,981.80
  4. Step 4: Simplify right side
    409,286.36x = 207,638,598,338.03
  5. Step 5: Solve for x
    x = 207,638,598,338.03/409,286.36
  6. Step 6: Final answer
    x = 507,318.64

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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.