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Finding the Fourth Proportional to 309,444.56, 464,170.94 and 99,082.49

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Solution

The fourth proportional to 309,444.56, 464,170.94 and 99,082.49 is: 148,625.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,444.56 : 464,170.94 = 99,082.49 : x
  2. Step 2: Convert to fraction form
    309,444.56/464,170.94 = 99,082.49/x
  3. Step 3: Cross multiply
    309,444.56x = 464,170.94 × 99,082.49
  4. Step 4: Simplify right side
    309,444.56x = 45,991,209,704.57
  5. Step 5: Solve for x
    x = 45,991,209,704.57/309,444.56
  6. Step 6: Final answer
    x = 148,625.04

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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.