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Finding the Fourth Proportional to 473,912.40, 709,716.60 and 251,806.80

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Solution

The fourth proportional to 473,912.40, 709,716.60 and 251,806.80 is: 377,098.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,912.40 : 709,716.60 = 251,806.80 : x
  2. Step 2: Convert to fraction form
    473,912.40/709,716.60 = 251,806.80/x
  3. Step 3: Cross multiply
    473,912.40x = 709,716.60 × 251,806.80
  4. Step 4: Simplify right side
    473,912.40x = 178,711,465,952.88
  5. Step 5: Solve for x
    x = 178,711,465,952.88/473,912.40
  6. Step 6: Final answer
    x = 377,098.10

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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.