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Finding the Fourth Proportional to 417,490.73, 576,138.32 and 226,504.12

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Solution

The fourth proportional to 417,490.73, 576,138.32 and 226,504.12 is: 312,576.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,490.73 : 576,138.32 = 226,504.12 : x
  2. Step 2: Convert to fraction form
    417,490.73/576,138.32 = 226,504.12/x
  3. Step 3: Cross multiply
    417,490.73x = 576,138.32 × 226,504.12
  4. Step 4: Simplify right side
    417,490.73x = 130,497,702,037.36
  5. Step 5: Solve for x
    x = 130,497,702,037.36/417,490.73
  6. Step 6: Final answer
    x = 312,576.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.