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Finding the Fourth Proportional to 458,028.65, 632,296.05 and 305,321.38

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Solution

The fourth proportional to 458,028.65, 632,296.05 and 305,321.38 is: 421,487.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,028.65 : 632,296.05 = 305,321.38 : x
  2. Step 2: Convert to fraction form
    458,028.65/632,296.05 = 305,321.38/x
  3. Step 3: Cross multiply
    458,028.65x = 632,296.05 × 305,321.38
  4. Step 4: Simplify right side
    458,028.65x = 193,053,502,554.55
  5. Step 5: Solve for x
    x = 193,053,502,554.55/458,028.65
  6. Step 6: Final answer
    x = 421,487.83

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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.