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Finding the Fourth Proportional to 417,491.14, 576,138.81 and 226,504.48

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Solution

The fourth proportional to 417,491.14, 576,138.81 and 226,504.48 is: 312,576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,491.14 : 576,138.81 = 226,504.48 : x
  2. Step 2: Convert to fraction form
    417,491.14/576,138.81 = 226,504.48/x
  3. Step 3: Cross multiply
    417,491.14x = 576,138.81 × 226,504.48
  4. Step 4: Simplify right side
    417,491.14x = 130,498,020,434.35
  5. Step 5: Solve for x
    x = 130,498,020,434.35/417,491.14
  6. Step 6: Final answer
    x = 312,576.74

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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.