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Finding the Fourth Proportional to 498,082.70, 746,864.49 and 178,111.22

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Solution

The fourth proportional to 498,082.70, 746,864.49 and 178,111.22 is: 267,074.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,082.70 : 746,864.49 = 178,111.22 : x
  2. Step 2: Convert to fraction form
    498,082.70/746,864.49 = 178,111.22/x
  3. Step 3: Cross multiply
    498,082.70x = 746,864.49 × 178,111.22
  4. Step 4: Simplify right side
    498,082.70x = 133,024,945,488.58
  5. Step 5: Solve for x
    x = 133,024,945,488.58/498,082.70
  6. Step 6: Final answer
    x = 267,074.01

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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.