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Finding the Fourth Proportional to 273,265.40, 409,964.78 and 104,782.70

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Solution

The fourth proportional to 273,265.40, 409,964.78 and 104,782.70 is: 157,199.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,265.40 : 409,964.78 = 104,782.70 : x
  2. Step 2: Convert to fraction form
    273,265.40/409,964.78 = 104,782.70/x
  3. Step 3: Cross multiply
    273,265.40x = 409,964.78 × 104,782.70
  4. Step 4: Simplify right side
    273,265.40x = 42,957,216,553.31
  5. Step 5: Solve for x
    x = 42,957,216,553.31/273,265.40
  6. Step 6: Final answer
    x = 157,199.62

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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.