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Finding the Fourth Proportional to 294,082.15, 440,885.62 and 114,074.63

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Solution

The fourth proportional to 294,082.15, 440,885.62 and 114,074.63 is: 171,019.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,082.15 : 440,885.62 = 114,074.63 : x
  2. Step 2: Convert to fraction form
    294,082.15/440,885.62 = 114,074.63/x
  3. Step 3: Cross multiply
    294,082.15x = 440,885.62 × 114,074.63
  4. Step 4: Simplify right side
    294,082.15x = 50,293,863,403.45
  5. Step 5: Solve for x
    x = 50,293,863,403.45/294,082.15
  6. Step 6: Final answer
    x = 171,019.78

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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.