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Finding the Fourth Proportional to 506,382.60, 759,617.26 and 132,405

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Solution

The fourth proportional to 506,382.60, 759,617.26 and 132,405 is: 198,618.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,382.60 : 759,617.26 = 132,405 : x
  2. Step 2: Convert to fraction form
    506,382.60/759,617.26 = 132,405/x
  3. Step 3: Cross multiply
    506,382.60x = 759,617.26 × 132,405
  4. Step 4: Simplify right side
    506,382.60x = 100,577,123,310.30
  5. Step 5: Solve for x
    x = 100,577,123,310.30/506,382.60
  6. Step 6: Final answer
    x = 198,618.84

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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.