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Finding the Fourth Proportional to 492,620.82, 737,758.26 and 314,576.34

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Solution

The fourth proportional to 492,620.82, 737,758.26 and 314,576.34 is: 471,115.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,620.82 : 737,758.26 = 314,576.34 : x
  2. Step 2: Convert to fraction form
    492,620.82/737,758.26 = 314,576.34/x
  3. Step 3: Cross multiply
    492,620.82x = 737,758.26 × 314,576.34
  4. Step 4: Simplify right side
    492,620.82x = 232,081,293,235.57
  5. Step 5: Solve for x
    x = 232,081,293,235.57/492,620.82
  6. Step 6: Final answer
    x = 471,115.48

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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.