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Finding the Fourth Proportional to 499,626.97, 749,315.61 and 196,082.78

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Solution

The fourth proportional to 499,626.97, 749,315.61 and 196,082.78 is: 294,075.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,626.97 : 749,315.61 = 196,082.78 : x
  2. Step 2: Convert to fraction form
    499,626.97/749,315.61 = 196,082.78/x
  3. Step 3: Cross multiply
    499,626.97x = 749,315.61 × 196,082.78
  4. Step 4: Simplify right side
    499,626.97x = 146,927,886,523.11
  5. Step 5: Solve for x
    x = 146,927,886,523.11/499,626.97
  6. Step 6: Final answer
    x = 294,075.17

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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.