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Finding the Fourth Proportional to 404,530.46, 606,619.20 and 214,945.10

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Solution

The fourth proportional to 404,530.46, 606,619.20 and 214,945.10 is: 322,323.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,530.46 : 606,619.20 = 214,945.10 : x
  2. Step 2: Convert to fraction form
    404,530.46/606,619.20 = 214,945.10/x
  3. Step 3: Cross multiply
    404,530.46x = 606,619.20 × 214,945.10
  4. Step 4: Simplify right side
    404,530.46x = 130,389,824,605.92
  5. Step 5: Solve for x
    x = 130,389,824,605.92/404,530.46
  6. Step 6: Final answer
    x = 322,323.87

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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.