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Finding the Fourth Proportional to 409,460.40, 614,190.60 and 251,777.70

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Solution

The fourth proportional to 409,460.40, 614,190.60 and 251,777.70 is: 377,666.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,460.40 : 614,190.60 = 251,777.70 : x
  2. Step 2: Convert to fraction form
    409,460.40/614,190.60 = 251,777.70/x
  3. Step 3: Cross multiply
    409,460.40x = 614,190.60 × 251,777.70
  4. Step 4: Simplify right side
    409,460.40x = 154,639,496,629.62
  5. Step 5: Solve for x
    x = 154,639,496,629.62/409,460.40
  6. Step 6: Final answer
    x = 377,666.55

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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.