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Finding the Fourth Proportional to 407,082.20, 610,623.30 and 265,364.60

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Solution

The fourth proportional to 407,082.20, 610,623.30 and 265,364.60 is: 398,046.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,082.20 : 610,623.30 = 265,364.60 : x
  2. Step 2: Convert to fraction form
    407,082.20/610,623.30 = 265,364.60/x
  3. Step 3: Cross multiply
    407,082.20x = 610,623.30 × 265,364.60
  4. Step 4: Simplify right side
    407,082.20x = 162,037,807,755.18
  5. Step 5: Solve for x
    x = 162,037,807,755.18/407,082.20
  6. Step 6: Final answer
    x = 398,046.90

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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.