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Finding the Fourth Proportional to 494,082.80, 741,815.40 and 307,458.80

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Solution

The fourth proportional to 494,082.80, 741,815.40 and 307,458.80 is: 461,618.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,082.80 : 741,815.40 = 307,458.80 : x
  2. Step 2: Convert to fraction form
    494,082.80/741,815.40 = 307,458.80/x
  3. Step 3: Cross multiply
    494,082.80x = 741,815.40 × 307,458.80
  4. Step 4: Simplify right side
    494,082.80x = 228,077,672,705.52
  5. Step 5: Solve for x
    x = 228,077,672,705.52/494,082.80
  6. Step 6: Final answer
    x = 461,618.32

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1.5x scale

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.