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Finding the Fourth Proportional to 407,082.72, 610,474.32 and 140,774.88

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Solution

The fourth proportional to 407,082.72, 610,474.32 and 140,774.88 is: 211,110.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,082.72 : 610,474.32 = 140,774.88 : x
  2. Step 2: Convert to fraction form
    407,082.72/610,474.32 = 140,774.88/x
  3. Step 3: Cross multiply
    407,082.72x = 610,474.32 × 140,774.88
  4. Step 4: Simplify right side
    407,082.72x = 85,939,449,141.08
  5. Step 5: Solve for x
    x = 85,939,449,141.08/407,082.72
  6. Step 6: Final answer
    x = 211,110.53

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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.