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Finding the Fourth Proportional to 458,968.43, 632,806.92 and 305,670.53

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Solution

The fourth proportional to 458,968.43, 632,806.92 and 305,670.53 is: 421,446.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,968.43 : 632,806.92 = 305,670.53 : x
  2. Step 2: Convert to fraction form
    458,968.43/632,806.92 = 305,670.53/x
  3. Step 3: Cross multiply
    458,968.43x = 632,806.92 × 305,670.53
  4. Step 4: Simplify right side
    458,968.43x = 193,430,425,506.24
  5. Step 5: Solve for x
    x = 193,430,425,506.24/458,968.43
  6. Step 6: Final answer
    x = 421,446.04

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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.