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Finding the Fourth Proportional to 273,617.60, 409,965.60 and 257,028.80

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Solution

The fourth proportional to 273,617.60, 409,965.60 and 257,028.80 is: 385,110.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,617.60 : 409,965.60 = 257,028.80 : x
  2. Step 2: Convert to fraction form
    273,617.60/409,965.60 = 257,028.80/x
  3. Step 3: Cross multiply
    273,617.60x = 409,965.60 × 257,028.80
  4. Step 4: Simplify right side
    273,617.60x = 105,372,966,209.28
  5. Step 5: Solve for x
    x = 105,372,966,209.28/273,617.60
  6. Step 6: Final answer
    x = 385,110.34

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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.