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Finding the Fourth Proportional to 404,546.46, 606,643.20 and 214,961.10

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Solution

The fourth proportional to 404,546.46, 606,643.20 and 214,961.10 is: 322,347.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,546.46 : 606,643.20 = 214,961.10 : x
  2. Step 2: Convert to fraction form
    404,546.46/606,643.20 = 214,961.10/x
  3. Step 3: Cross multiply
    404,546.46x = 606,643.20 × 214,961.10
  4. Step 4: Simplify right side
    404,546.46x = 130,404,689,579.52
  5. Step 5: Solve for x
    x = 130,404,689,579.52/404,546.46
  6. Step 6: Final answer
    x = 322,347.87

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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.